What is the Greatest Common Factor of 25597 and 25608?

Greatest common factor (GCF) of 25597 and 25608 is 11.

GCF(25597,25608) = 11

We will now calculate the prime factors of 25597 and 25608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25597 and 25608.

How to find the GCF of 25597 and 25608?

We will first find the prime factorization of 25597 and 25608. After we will calculate the factors of 25597 and 25608 and find the biggest common factor number .

Step-1: Prime Factorization of 25597

Prime factors of 25597 are 11, 13, 179. Prime factorization of 25597 in exponential form is:

25597 = 11¹ × 13¹ × 179¹

Step-2: Prime Factorization of 25608

Prime factors of 25608 are 2, 3, 11, 97. Prime factorization of 25608 in exponential form is:

25608 = 2³ × 3¹ × 11¹ × 97¹

Step-3: Factors of 25597

List of positive integer factors of 25597 that divides 25597 without a remainder.

1, 11, 13, 143, 179, 1969, 2327

Step-4: Factors of 25608

List of positive integer factors of 25608 that divides 25597 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 97, 132, 194, 264, 291, 388, 582, 776, 1067, 1164, 2134, 2328, 3201, 4268, 6402, 8536, 12804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25597 and 25608. The biggest common factor number is the GCF number.
So the greatest common factor 25597 and 25608 is 11.

Also check out the Least Common Multiple of 25597 and 25608