What is the Greatest Common Factor of 25940 and 25960?

Greatest common factor (GCF) of 25940 and 25960 is 20.

GCF(25940,25960) = 20

We will now calculate the prime factors of 25940 and 25960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25940 and 25960.

How to find the GCF of 25940 and 25960?

We will first find the prime factorization of 25940 and 25960. After we will calculate the factors of 25940 and 25960 and find the biggest common factor number .

Step-1: Prime Factorization of 25940

Prime factors of 25940 are 2, 5, 1297. Prime factorization of 25940 in exponential form is:

25940 = 2² × 5¹ × 1297¹

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 25940

List of positive integer factors of 25940 that divides 25940 without a remainder.

1, 2, 4, 5, 10, 20, 1297, 2594, 5188, 6485, 12970

Step-4: Factors of 25960

List of positive integer factors of 25960 that divides 25940 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 25940 and 25960. The biggest common factor number is the GCF number.
So the greatest common factor 25940 and 25960 is 20.

Also check out the Least Common Multiple of 25940 and 25960