What is the Greatest Common Factor of 25674 and 25682?

Greatest common factor (GCF) of 25674 and 25682 is 2.

GCF(25674,25682) = 2

We will now calculate the prime factors of 25674 and 25682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25674 and 25682.

How to find the GCF of 25674 and 25682?

We will first find the prime factorization of 25674 and 25682. After we will calculate the factors of 25674 and 25682 and find the biggest common factor number .

Step-1: Prime Factorization of 25674

Prime factors of 25674 are 2, 3, 11, 389. Prime factorization of 25674 in exponential form is:

25674 = 2¹ × 3¹ × 11¹ × 389¹

Step-2: Prime Factorization of 25682

Prime factors of 25682 are 2, 12841. Prime factorization of 25682 in exponential form is:

25682 = 2¹ × 12841¹

Step-3: Factors of 25674

List of positive integer factors of 25674 that divides 25674 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 389, 778, 1167, 2334, 4279, 8558, 12837

Step-4: Factors of 25682

List of positive integer factors of 25682 that divides 25674 without a remainder.

1, 2, 12841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25674 and 25682. The biggest common factor number is the GCF number.
So the greatest common factor 25674 and 25682 is 2.

Also check out the Least Common Multiple of 25674 and 25682