**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 24, 25 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 24 and 25 is **1**.

GCF(24,25) = 1

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

**Prime Factorization of 24**

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Prime factors of 24 are 2,3. Prime factorization of **24** in exponential form is:

24 = 2^{3}×3^{1}

**Prime Factorization of 25**

5 | 25 |

5 | 5 |

1 |

Prime factors of 25 are 5. Prime factorization of **25** in exponential form is:

25 = 5^{2}

∴ So by taking common prime factors GCF of 24 and 25 is 1

**Factors of 24**

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

**Factors of 25**

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

**Greatest Common Factor**

We found the factors and prime factorization of 24 and 25. The biggest common factor number is the **GCF** number.

So the **greatest common factor 24 and 25** is **1**.

Also check out the Least Common Multiple of 24 and 25

(i) The GCF of 24 and 25 is associative

GCF of 24 and 25 = GCF of 25 and 24

1. What is the GCF of 24 and 25?

Answer: GCF of 24 and 25 is 1.

2. What are the Factors of 24?

Answer: Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. There are 8 integers that are factors of 24. The greatest factor of 24 is 24.

3. What are the Factors of 25?

Answer: Factors of 25 are 1, 5, 25. There are 3 integers that are factors of 25. The greatest factor of 25 is 25.

4. How to Find the GCF of 24 and 25?

Answer:

Greatest Common Factor of 24 and 25 = 1

Step 1: Find the prime factorization of 24

24 = 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 25

25 = 5 x 5

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 24 and 25 is 1