What is the Greatest Common Factor of 25914 and 25931?

Greatest common factor (GCF) of 25914 and 25931 is 1.

GCF(25914,25931) = 1

We will now calculate the prime factors of 25914 and 25931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25914 and 25931.

How to find the GCF of 25914 and 25931?

We will first find the prime factorization of 25914 and 25931. After we will calculate the factors of 25914 and 25931 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 25931

Prime factors of 25931 are 25931. Prime factorization of 25931 in exponential form is:

25931 = 25931¹

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 25931

List of positive integer factors of 25931 that divides 25914 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25914 and 25931. The biggest common factor number is the GCF number.
So the greatest common factor 25914 and 25931 is 1.

Also check out the Least Common Multiple of 25914 and 25931