What is the Greatest Common Factor of 25452 and 25466?

Greatest common factor (GCF) of 25452 and 25466 is 14.

GCF(25452,25466) = 14

We will now calculate the prime factors of 25452 and 25466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25452 and 25466.

How to find the GCF of 25452 and 25466?

We will first find the prime factorization of 25452 and 25466. After we will calculate the factors of 25452 and 25466 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 25466

Prime factors of 25466 are 2, 7, 17, 107. Prime factorization of 25466 in exponential form is:

25466 = 2¹ × 7¹ × 17¹ × 107¹

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 25466

List of positive integer factors of 25466 that divides 25452 without a remainder.

1, 2, 7, 14, 17, 34, 107, 119, 214, 238, 749, 1498, 1819, 3638, 12733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25452 and 25466. The biggest common factor number is the GCF number.
So the greatest common factor 25452 and 25466 is 14.

Also check out the Least Common Multiple of 25452 and 25466