What is the Greatest Common Factor of 51359 and 51370?

Greatest common factor (GCF) of 51359 and 51370 is 11.

GCF(51359,51370) = 11

We will now calculate the prime factors of 51359 and 51370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51359 and 51370.

How to find the GCF of 51359 and 51370?

We will first find the prime factorization of 51359 and 51370. After we will calculate the factors of 51359 and 51370 and find the biggest common factor number .

Step-1: Prime Factorization of 51359

Prime factors of 51359 are 7, 11, 23, 29. Prime factorization of 51359 in exponential form is:

51359 = 7¹ × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 51370

Prime factors of 51370 are 2, 5, 11, 467. Prime factorization of 51370 in exponential form is:

51370 = 2¹ × 5¹ × 11¹ × 467¹

Step-3: Factors of 51359

List of positive integer factors of 51359 that divides 51359 without a remainder.

1, 7, 11, 23, 29, 77, 161, 203, 253, 319, 667, 1771, 2233, 4669, 7337

Step-4: Factors of 51370

List of positive integer factors of 51370 that divides 51359 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 467, 934, 2335, 4670, 5137, 10274, 25685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51359 and 51370. The biggest common factor number is the GCF number.
So the greatest common factor 51359 and 51370 is 11.

Also check out the Least Common Multiple of 51359 and 51370