What is the Greatest Common Factor of 25921 and 25928?

Greatest common factor (GCF) of 25921 and 25928 is 7.

GCF(25921,25928) = 7

We will now calculate the prime factors of 25921 and 25928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25921 and 25928.

How to find the GCF of 25921 and 25928?

We will first find the prime factorization of 25921 and 25928. After we will calculate the factors of 25921 and 25928 and find the biggest common factor number .

Step-1: Prime Factorization of 25921

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

25921 = 7² × 23²

Step-2: Prime Factorization of 25928

Prime factors of 25928 are 2, 7, 463. Prime factorization of 25928 in exponential form is:

25928 = 2³ × 7¹ × 463¹

Step-3: Factors of 25921

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

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

Step-4: Factors of 25928

List of positive integer factors of 25928 that divides 25921 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 463, 926, 1852, 3241, 3704, 6482, 12964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25921 and 25928. The biggest common factor number is the GCF number.
So the greatest common factor 25921 and 25928 is 7.

Also check out the Least Common Multiple of 25921 and 25928