What is the Greatest Common Factor of 25356 and 25374?

Greatest common factor (GCF) of 25356 and 25374 is 6.

GCF(25356,25374) = 6

We will now calculate the prime factors of 25356 and 25374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25356 and 25374.

How to find the GCF of 25356 and 25374?

We will first find the prime factorization of 25356 and 25374. After we will calculate the factors of 25356 and 25374 and find the biggest common factor number .

Step-1: Prime Factorization of 25356

Prime factors of 25356 are 2, 3, 2113. Prime factorization of 25356 in exponential form is:

25356 = 2² × 3¹ × 2113¹

Step-2: Prime Factorization of 25374

Prime factors of 25374 are 2, 3, 4229. Prime factorization of 25374 in exponential form is:

25374 = 2¹ × 3¹ × 4229¹

Step-3: Factors of 25356

List of positive integer factors of 25356 that divides 25356 without a remainder.

1, 2, 3, 4, 6, 12, 2113, 4226, 6339, 8452, 12678

Step-4: Factors of 25374

List of positive integer factors of 25374 that divides 25356 without a remainder.

1, 2, 3, 6, 4229, 8458, 12687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25356 and 25374. The biggest common factor number is the GCF number.
So the greatest common factor 25356 and 25374 is 6.

Also check out the Least Common Multiple of 25356 and 25374