Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2025, 2026 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2025 and 2026 is **1**.

GCF(2025,2026) = 1

*Greatest common factor* or Greatest common divisor (GCD) can be calculated in following way;

- Greatest Common Factor of 2025 and 2026 by prime factorization method
- Greatest Common Factor of 2025 and 2026 by matching factors method

**Prime Factorization of 2025**

3 | 2025 |

3 | 675 |

3 | 225 |

3 | 75 |

5 | 25 |

5 | 5 |

1 |

Prime factors of 2025 are 3,5. Prime factorization of **2025** in exponential form is:

2025 = 3^{4}×5^{2}

**Prime Factorization of 2026**

2 | 2026 |

1013 | 1013 |

1 |

Prime factors of 2026 are 2,1013. Prime factorization of **2026** in exponential form is:

2026 = 2^{1}×1013^{1}

∴ So by taking common prime factors GCF of 2025 and 2026 is 1

**Factors of 2025**

List of positive integer factors of 2025 that divides 2025 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025

**Factors of 2026**

List of positive integer factors of 2026 that divides 2026 without a remainder.

1,2,1013,2026

**Greatest Common Factor**

We found the factors and prime factorization of 2025 and 2026. The biggest common factor number is the **GCF** number.

So the **greatest common factor 2025 and 2026** is **1**.

Also check out the Least Common Multiple of 2025 and 2026

(i) The GCF of 2025 and 2026 is associative

GCF of 2025 and 2026 = GCF of 2026 and 2025

1. What is the GCF of 2025 and 2026?

Answer: GCF of 2025 and 2026 is 1.

2. What are the Factors of 2025?

Answer: Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. There are 15 integers that are factors of 2025. The greatest factor of 2025 is 2025.

3. What are the Factors of 2026?

Answer: Factors of 2026 are 1, 2, 1013, 2026. There are 4 integers that are factors of 2026. The greatest factor of 2026 is 2026.

4. How to Find the GCF of 2025 and 2026?

Answer:

Greatest Common Factor of 2025 and 2026 = 1

Step 1: Find the prime factorization of 2025

2025 = 3 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 2026

2026 = 2 x 1013

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 2025 and 2026 is 1