What is the Greatest Common Factor of 25928 and 25948?

Greatest common factor (GCF) of 25928 and 25948 is 4.

GCF(25928,25948) = 4

We will now calculate the prime factors of 25928 and 25948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25928 and 25948.

How to find the GCF of 25928 and 25948?

We will first find the prime factorization of 25928 and 25948. After we will calculate the factors of 25928 and 25948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25948

Prime factors of 25948 are 2, 13, 499. Prime factorization of 25948 in exponential form is:

25948 = 2² × 13¹ × 499¹

Step-3: Factors of 25928

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

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

Step-4: Factors of 25948

List of positive integer factors of 25948 that divides 25928 without a remainder.

1, 2, 4, 13, 26, 52, 499, 998, 1996, 6487, 12974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25928 and 25948. The biggest common factor number is the GCF number.
So the greatest common factor 25928 and 25948 is 4.

Also check out the Least Common Multiple of 25928 and 25948