What is the Greatest Common Factor of 64368 and 64376?

Greatest common factor (GCF) of 64368 and 64376 is 8.

GCF(64368,64376) = 8

We will now calculate the prime factors of 64368 and 64376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64368 and 64376.

How to find the GCF of 64368 and 64376?

We will first find the prime factorization of 64368 and 64376. After we will calculate the factors of 64368 and 64376 and find the biggest common factor number .

Step-1: Prime Factorization of 64368

Prime factors of 64368 are 2, 3, 149. Prime factorization of 64368 in exponential form is:

64368 = 2⁴ × 3³ × 149¹

Step-2: Prime Factorization of 64376

Prime factors of 64376 are 2, 13, 619. Prime factorization of 64376 in exponential form is:

64376 = 2³ × 13¹ × 619¹

Step-3: Factors of 64368

List of positive integer factors of 64368 that divides 64368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 149, 216, 298, 432, 447, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 4023, 5364, 7152, 8046, 10728, 16092, 21456, 32184

Step-4: Factors of 64376

List of positive integer factors of 64376 that divides 64368 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 619, 1238, 2476, 4952, 8047, 16094, 32188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64368 and 64376. The biggest common factor number is the GCF number.
So the greatest common factor 64368 and 64376 is 8.

Also check out the Least Common Multiple of 64368 and 64376