What is the Greatest Common Factor of 51610 and 51625?

Greatest common factor (GCF) of 51610 and 51625 is 5.

GCF(51610,51625) = 5

We will now calculate the prime factors of 51610 and 51625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51610 and 51625.

How to find the GCF of 51610 and 51625?

We will first find the prime factorization of 51610 and 51625. After we will calculate the factors of 51610 and 51625 and find the biggest common factor number .

Step-1: Prime Factorization of 51610

Prime factors of 51610 are 2, 5, 13, 397. Prime factorization of 51610 in exponential form is:

51610 = 2¹ × 5¹ × 13¹ × 397¹

Step-2: Prime Factorization of 51625

Prime factors of 51625 are 5, 7, 59. Prime factorization of 51625 in exponential form is:

51625 = 5³ × 7¹ × 59¹

Step-3: Factors of 51610

List of positive integer factors of 51610 that divides 51610 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 397, 794, 1985, 3970, 5161, 10322, 25805

Step-4: Factors of 51625

List of positive integer factors of 51625 that divides 51610 without a remainder.

1, 5, 7, 25, 35, 59, 125, 175, 295, 413, 875, 1475, 2065, 7375, 10325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51610 and 51625. The biggest common factor number is the GCF number.
So the greatest common factor 51610 and 51625 is 5.

Also check out the Least Common Multiple of 51610 and 51625