Vaccine Therapy With or Without Polysaccharide-K in Patients With Stage IV HER2 Positive Breast Cancer Receiving HER2-Targeted Monoclonal Antibody Therapy

Inclusion Criteria: * Patients with stage IV HER2+ breast cancer treated to: * No evidence of disease (NED), or * Stable bone only disease after definitive therapy * HER2 overexpression by immunohistochemistry (IHC) of 2+ or 3+ in the primary tumor or metastasis; or documented gene amplification by fluorescent in situ hybridization (FISH) analysis; IHC =\< 2+ must have HER2 gene amplification documented by FISH * Patients must continue HER2-targeted monoclonal antibody therapy dosing per standard of care through the entire study period (one year) * HER2-targeted monoclonal antibody therapy is defined as either trastuzumab monotherapy, or trastuzumab and pertuzumab combination therapy administered per standard of care * Patients must be at least 21 days post cytotoxic chemotherapy prior to enrollment * Patients must be at least 28 days post immunosuppressants prior to enrollment * Patients must be at least 28 days from use of any mushroom supplements (examples: turkey tail, reishi, maitake, shiitake) and agree to withhold them for the entire study period (one year) * Patients on bisphosphonates and/or endocrine therapy are eligible * Patients who are having sex that could lead to pregnancy must agree to contraceptive use during the entire study period * Patients must have Zubrod performance status score of =\< 2 * Patients must have recovered from major infections and/or surgical procedures, and in the opinion of the investigator, not have significant active concurrent medical illnesses precluding study treatment * White blood cell (WBC) \>= 3000/mm\^3 * Hemoglobin (Hgb) \>= 10 g/dl * Serum creatinine =\< 2.0 mg/dl or creatinine clearance \> 60 ml/min * Total bilirubin =\< 1.5 mg/dl * Serum glutamic oxaloacetic transaminase (SGOT) =\< 2.5 times the upper limit of normal * Patients must have adequate cardiac function as demonstrated by normal left ventricular ejection fraction (LVEF) \>= the lower limit of normal for the facility on multi gated acquisition (MUGA) scan or echocardiogram (ECHO) within 3 months of enrollment Exclusion Criteria: * Patients with any of the following cardiac conditions: * Restrictive cardiomyopathy * Unstable angina within 6 months prior to enrollment * New York Heart Association functional class III-IV heart failure * Symptomatic pericardial effusion * Patients with any contraindication to receiving rhu granulocyte macrophage colony stimulating factor (rhuGM-CSF) based products * Patients with any clinically significant autoimmune disease requiring active treatment * Patients receiving any concurrent immunosuppressants * Patients who are pregnant or breast-feeding * Patients who are simultaneously enrolled in other treatment studies * Patients who have received a previous HER2 breast cancer vaccine * Known hypersensitivity reaction to mushroom products