What is the Greatest Common Factor of 25316 and 25334?

Greatest common factor (GCF) of 25316 and 25334 is 2.

GCF(25316,25334) = 2

We will now calculate the prime factors of 25316 and 25334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25316 and 25334.

How to find the GCF of 25316 and 25334?

We will first find the prime factorization of 25316 and 25334. After we will calculate the factors of 25316 and 25334 and find the biggest common factor number .

Step-1: Prime Factorization of 25316

Prime factors of 25316 are 2, 6329. Prime factorization of 25316 in exponential form is:

25316 = 2² × 6329¹

Step-2: Prime Factorization of 25334

Prime factors of 25334 are 2, 53, 239. Prime factorization of 25334 in exponential form is:

25334 = 2¹ × 53¹ × 239¹

Step-3: Factors of 25316

List of positive integer factors of 25316 that divides 25316 without a remainder.

1, 2, 4, 6329, 12658

Step-4: Factors of 25334

List of positive integer factors of 25334 that divides 25316 without a remainder.

1, 2, 53, 106, 239, 478, 12667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25316 and 25334. The biggest common factor number is the GCF number.
So the greatest common factor 25316 and 25334 is 2.

Also check out the Least Common Multiple of 25316 and 25334