What is the Greatest Common Factor of 51354 and 51368?

Greatest common factor (GCF) of 51354 and 51368 is 2.

GCF(51354,51368) = 2

We will now calculate the prime factors of 51354 and 51368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51354 and 51368.

How to find the GCF of 51354 and 51368?

We will first find the prime factorization of 51354 and 51368. After we will calculate the factors of 51354 and 51368 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 51368

Prime factors of 51368 are 2, 6421. Prime factorization of 51368 in exponential form is:

51368 = 2³ × 6421¹

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 51368

List of positive integer factors of 51368 that divides 51354 without a remainder.

1, 2, 4, 8, 6421, 12842, 25684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51354 and 51368. The biggest common factor number is the GCF number.
So the greatest common factor 51354 and 51368 is 2.

Also check out the Least Common Multiple of 51354 and 51368