What is the Greatest Common Factor of 51625 and 51645?

Greatest common factor (GCF) of 51625 and 51645 is 5.

GCF(51625,51645) = 5

We will now calculate the prime factors of 51625 and 51645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51625 and 51645.

How to find the GCF of 51625 and 51645?

We will first find the prime factorization of 51625 and 51645. After we will calculate the factors of 51625 and 51645 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51645

Prime factors of 51645 are 3, 5, 11, 313. Prime factorization of 51645 in exponential form is:

51645 = 3¹ × 5¹ × 11¹ × 313¹

Step-3: Factors of 51625

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

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

Step-4: Factors of 51645

List of positive integer factors of 51645 that divides 51625 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 313, 939, 1565, 3443, 4695, 10329, 17215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51625 and 51645. The biggest common factor number is the GCF number.
So the greatest common factor 51625 and 51645 is 5.

Also check out the Least Common Multiple of 51625 and 51645