What is the Greatest Common Factor of 25452 and 25464?

Greatest common factor (GCF) of 25452 and 25464 is 12.

GCF(25452,25464) = 12

We will now calculate the prime factors of 25452 and 25464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25452 and 25464.

How to find the GCF of 25452 and 25464?

We will first find the prime factorization of 25452 and 25464. After we will calculate the factors of 25452 and 25464 and find the biggest common factor number .

Step-1: Prime Factorization of 25452

Prime factors of 25452 are 2, 3, 7, 101. Prime factorization of 25452 in exponential form is:

25452 = 2² × 3² × 7¹ × 101¹

Step-2: Prime Factorization of 25464

Prime factors of 25464 are 2, 3, 1061. Prime factorization of 25464 in exponential form is:

25464 = 2³ × 3¹ × 1061¹

Step-3: Factors of 25452

List of positive integer factors of 25452 that divides 25452 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 101, 126, 202, 252, 303, 404, 606, 707, 909, 1212, 1414, 1818, 2121, 2828, 3636, 4242, 6363, 8484, 12726

Step-4: Factors of 25464

List of positive integer factors of 25464 that divides 25452 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1061, 2122, 3183, 4244, 6366, 8488, 12732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25452 and 25464. The biggest common factor number is the GCF number.
So the greatest common factor 25452 and 25464 is 12.

Also check out the Least Common Multiple of 25452 and 25464