What is the Greatest Common Factor of 25130 and 25137?

Greatest common factor (GCF) of 25130 and 25137 is 7.

GCF(25130,25137) = 7

We will now calculate the prime factors of 25130 and 25137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25130 and 25137.

How to find the GCF of 25130 and 25137?

We will first find the prime factorization of 25130 and 25137. After we will calculate the factors of 25130 and 25137 and find the biggest common factor number .

Step-1: Prime Factorization of 25130

Prime factors of 25130 are 2, 5, 7, 359. Prime factorization of 25130 in exponential form is:

25130 = 2¹ × 5¹ × 7¹ × 359¹

Step-2: 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-3: Factors of 25130

List of positive integer factors of 25130 that divides 25130 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 359, 718, 1795, 2513, 3590, 5026, 12565

Step-4: Factors of 25137

List of positive integer factors of 25137 that divides 25130 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25130 and 25137. The biggest common factor number is the GCF number.
So the greatest common factor 25130 and 25137 is 7.

Also check out the Least Common Multiple of 25130 and 25137