What is the Greatest Common Factor of 67376 and 67394?

Greatest common factor (GCF) of 67376 and 67394 is 2.

GCF(67376,67394) = 2

We will now calculate the prime factors of 67376 and 67394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67376 and 67394.

How to find the GCF of 67376 and 67394?

We will first find the prime factorization of 67376 and 67394. After we will calculate the factors of 67376 and 67394 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 67394

Prime factors of 67394 are 2, 31, 1087. Prime factorization of 67394 in exponential form is:

67394 = 2¹ × 31¹ × 1087¹

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 67394

List of positive integer factors of 67394 that divides 67376 without a remainder.

1, 2, 31, 62, 1087, 2174, 33697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67376 and 67394. The biggest common factor number is the GCF number.
So the greatest common factor 67376 and 67394 is 2.

Also check out the Least Common Multiple of 67376 and 67394