What is the Greatest Common Factor of 25914 and 25921?

Greatest common factor (GCF) of 25914 and 25921 is 7.

GCF(25914,25921) = 7

We will now calculate the prime factors of 25914 and 25921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25914 and 25921.

How to find the GCF of 25914 and 25921?

We will first find the prime factorization of 25914 and 25921. After we will calculate the factors of 25914 and 25921 and find the biggest common factor number .

Step-1: Prime Factorization of 25914

Prime factors of 25914 are 2, 3, 7, 617. Prime factorization of 25914 in exponential form is:

25914 = 2¹ × 3¹ × 7¹ × 617¹

Step-2: Prime Factorization of 25921

Prime factors of 25921 are 7, 23. Prime factorization of 25921 in exponential form is:

25921 = 7² × 23²

Step-3: Factors of 25914

List of positive integer factors of 25914 that divides 25914 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 617, 1234, 1851, 3702, 4319, 8638, 12957

Step-4: Factors of 25921

List of positive integer factors of 25921 that divides 25914 without a remainder.

1, 7, 23, 49, 161, 529, 1127, 3703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25914 and 25921. The biggest common factor number is the GCF number.
So the greatest common factor 25914 and 25921 is 7.

Also check out the Least Common Multiple of 25914 and 25921