What is the Greatest Common Factor of 64376 and 64396?

Greatest common factor (GCF) of 64376 and 64396 is 4.

GCF(64376,64396) = 4

We will now calculate the prime factors of 64376 and 64396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64376 and 64396.

How to find the GCF of 64376 and 64396?

We will first find the prime factorization of 64376 and 64396. After we will calculate the factors of 64376 and 64396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64396

Prime factors of 64396 are 2, 17, 947. Prime factorization of 64396 in exponential form is:

64396 = 2² × 17¹ × 947¹

Step-3: Factors of 64376

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

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

Step-4: Factors of 64396

List of positive integer factors of 64396 that divides 64376 without a remainder.

1, 2, 4, 17, 34, 68, 947, 1894, 3788, 16099, 32198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64376 and 64396. The biggest common factor number is the GCF number.
So the greatest common factor 64376 and 64396 is 4.

Also check out the Least Common Multiple of 64376 and 64396