What is the Greatest Common Factor of 51360 and 51368?

Greatest common factor (GCF) of 51360 and 51368 is 8.

GCF(51360,51368) = 8

We will now calculate the prime factors of 51360 and 51368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51360 and 51368.

How to find the GCF of 51360 and 51368?

We will first find the prime factorization of 51360 and 51368. After we will calculate the factors of 51360 and 51368 and find the biggest common factor number .

Step-1: Prime Factorization of 51360

Prime factors of 51360 are 2, 3, 5, 107. Prime factorization of 51360 in exponential form is:

51360 = 2⁵ × 3¹ × 5¹ × 107¹

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 51360

List of positive integer factors of 51360 that divides 51360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 107, 120, 160, 214, 240, 321, 428, 480, 535, 642, 856, 1070, 1284, 1605, 1712, 2140, 2568, 3210, 3424, 4280, 5136, 6420, 8560, 10272, 12840, 17120, 25680

Step-4: Factors of 51368

List of positive integer factors of 51368 that divides 51360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51360 and 51368. The biggest common factor number is the GCF number.
So the greatest common factor 51360 and 51368 is 8.

Also check out the Least Common Multiple of 51360 and 51368