What is the Greatest Common Factor of 25137 and 25156?

Greatest common factor (GCF) of 25137 and 25156 is 19.

GCF(25137,25156) = 19

We will now calculate the prime factors of 25137 and 25156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25137 and 25156.

How to find the GCF of 25137 and 25156?

We will first find the prime factorization of 25137 and 25156. After we will calculate the factors of 25137 and 25156 and find the biggest common factor number .

Step-1: Prime Factorization of 25137

Prime factors of 25137 are 3, 7, 19. Prime factorization of 25137 in exponential form is:

25137 = 3³ × 7² × 19¹

Step-2: Prime Factorization of 25156

Prime factors of 25156 are 2, 19, 331. Prime factorization of 25156 in exponential form is:

25156 = 2² × 19¹ × 331¹

Step-3: Factors of 25137

List of positive integer factors of 25137 that divides 25137 without a remainder.

1, 3, 7, 9, 19, 21, 27, 49, 57, 63, 133, 147, 171, 189, 399, 441, 513, 931, 1197, 1323, 2793, 3591, 8379

Step-4: Factors of 25156

List of positive integer factors of 25156 that divides 25137 without a remainder.

1, 2, 4, 19, 38, 76, 331, 662, 1324, 6289, 12578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25137 and 25156. The biggest common factor number is the GCF number.
So the greatest common factor 25137 and 25156 is 19.

Also check out the Least Common Multiple of 25137 and 25156