What is the Greatest Common Factor of 25952 and 25960?

Greatest common factor (GCF) of 25952 and 25960 is 8.

GCF(25952,25960) = 8

We will now calculate the prime factors of 25952 and 25960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25952 and 25960.

How to find the GCF of 25952 and 25960?

We will first find the prime factorization of 25952 and 25960. After we will calculate the factors of 25952 and 25960 and find the biggest common factor number .

Step-1: Prime Factorization of 25952

Prime factors of 25952 are 2, 811. Prime factorization of 25952 in exponential form is:

25952 = 2⁵ × 811¹

Step-2: Prime Factorization of 25960

Prime factors of 25960 are 2, 5, 11, 59. Prime factorization of 25960 in exponential form is:

25960 = 2³ × 5¹ × 11¹ × 59¹

Step-3: Factors of 25952

List of positive integer factors of 25952 that divides 25952 without a remainder.

1, 2, 4, 8, 16, 32, 811, 1622, 3244, 6488, 12976

Step-4: Factors of 25960

List of positive integer factors of 25960 that divides 25952 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 59, 88, 110, 118, 220, 236, 295, 440, 472, 590, 649, 1180, 1298, 2360, 2596, 3245, 5192, 6490, 12980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25952 and 25960. The biggest common factor number is the GCF number.
So the greatest common factor 25952 and 25960 is 8.

Also check out the Least Common Multiple of 25952 and 25960