What is the Greatest Common Factor of 67376 and 67382?

Greatest common factor (GCF) of 67376 and 67382 is 2.

GCF(67376,67382) = 2

We will now calculate the prime factors of 67376 and 67382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67376 and 67382.

How to find the GCF of 67376 and 67382?

We will first find the prime factorization of 67376 and 67382. After we will calculate the factors of 67376 and 67382 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 67382

Prime factors of 67382 are 2, 7, 4813. Prime factorization of 67382 in exponential form is:

67382 = 2¹ × 7¹ × 4813¹

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 67382

List of positive integer factors of 67382 that divides 67376 without a remainder.

1, 2, 7, 14, 4813, 9626, 33691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67376 and 67382. The biggest common factor number is the GCF number.
So the greatest common factor 67376 and 67382 is 2.

Also check out the Least Common Multiple of 67376 and 67382