What is the Greatest Common Factor of 67376 and 67388?

Greatest common factor (GCF) of 67376 and 67388 is 4.

GCF(67376,67388) = 4

We will now calculate the prime factors of 67376 and 67388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67376 and 67388.

How to find the GCF of 67376 and 67388?

We will first find the prime factorization of 67376 and 67388. After we will calculate the factors of 67376 and 67388 and find the biggest common factor number .

Step-1: Prime Factorization of 67376

Prime factors of 67376 are 2, 4211. Prime factorization of 67376 in exponential form is:

67376 = 2⁴ × 4211¹

Step-2: Prime Factorization of 67388

Prime factors of 67388 are 2, 17, 991. Prime factorization of 67388 in exponential form is:

67388 = 2² × 17¹ × 991¹

Step-3: Factors of 67376

List of positive integer factors of 67376 that divides 67376 without a remainder.

1, 2, 4, 8, 16, 4211, 8422, 16844, 33688

Step-4: Factors of 67388

List of positive integer factors of 67388 that divides 67376 without a remainder.

1, 2, 4, 17, 34, 68, 991, 1982, 3964, 16847, 33694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67376 and 67388. The biggest common factor number is the GCF number.
So the greatest common factor 67376 and 67388 is 4.

Also check out the Least Common Multiple of 67376 and 67388