What is the Greatest Common Factor of 67256 and 67274?

Greatest common factor (GCF) of 67256 and 67274 is 2.

GCF(67256,67274) = 2

We will now calculate the prime factors of 67256 and 67274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67256 and 67274.

How to find the GCF of 67256 and 67274?

We will first find the prime factorization of 67256 and 67274. After we will calculate the factors of 67256 and 67274 and find the biggest common factor number .

Step-1: Prime Factorization of 67256

Prime factors of 67256 are 2, 7, 1201. Prime factorization of 67256 in exponential form is:

67256 = 2³ × 7¹ × 1201¹

Step-2: Prime Factorization of 67274

Prime factors of 67274 are 2, 33637. Prime factorization of 67274 in exponential form is:

67274 = 2¹ × 33637¹

Step-3: Factors of 67256

List of positive integer factors of 67256 that divides 67256 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1201, 2402, 4804, 8407, 9608, 16814, 33628

Step-4: Factors of 67274

List of positive integer factors of 67274 that divides 67256 without a remainder.

1, 2, 33637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67256 and 67274. The biggest common factor number is the GCF number.
So the greatest common factor 67256 and 67274 is 2.

Also check out the Least Common Multiple of 67256 and 67274