What is the Greatest Common Factor of 51354 and 51372?

Greatest common factor (GCF) of 51354 and 51372 is 18.

GCF(51354,51372) = 18

We will now calculate the prime factors of 51354 and 51372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51354 and 51372.

How to find the GCF of 51354 and 51372?

We will first find the prime factorization of 51354 and 51372. After we will calculate the factors of 51354 and 51372 and find the biggest common factor number .

Step-1: Prime Factorization of 51354

Prime factors of 51354 are 2, 3, 317. Prime factorization of 51354 in exponential form is:

51354 = 2¹ × 3⁴ × 317¹

Step-2: Prime Factorization of 51372

Prime factors of 51372 are 2, 3, 1427. Prime factorization of 51372 in exponential form is:

51372 = 2² × 3² × 1427¹

Step-3: Factors of 51354

List of positive integer factors of 51354 that divides 51354 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 317, 634, 951, 1902, 2853, 5706, 8559, 17118, 25677

Step-4: Factors of 51372

List of positive integer factors of 51372 that divides 51354 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1427, 2854, 4281, 5708, 8562, 12843, 17124, 25686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51354 and 51372. The biggest common factor number is the GCF number.
So the greatest common factor 51354 and 51372 is 18.

Also check out the Least Common Multiple of 51354 and 51372