What is the Greatest Common Factor of 27674 and 27694?

Greatest common factor (GCF) of 27674 and 27694 is 2.

GCF(27674,27694) = 2

We will now calculate the prime factors of 27674 and 27694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27674 and 27694.

How to find the GCF of 27674 and 27694?

We will first find the prime factorization of 27674 and 27694. After we will calculate the factors of 27674 and 27694 and find the biggest common factor number .

Step-1: Prime Factorization of 27674

Prime factors of 27674 are 2, 101, 137. Prime factorization of 27674 in exponential form is:

27674 = 2¹ × 101¹ × 137¹

Step-2: Prime Factorization of 27694

Prime factors of 27694 are 2, 61, 227. Prime factorization of 27694 in exponential form is:

27694 = 2¹ × 61¹ × 227¹

Step-3: Factors of 27674

List of positive integer factors of 27674 that divides 27674 without a remainder.

1, 2, 101, 137, 202, 274, 13837

Step-4: Factors of 27694

List of positive integer factors of 27694 that divides 27674 without a remainder.

1, 2, 61, 122, 227, 454, 13847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27674 and 27694. The biggest common factor number is the GCF number.
So the greatest common factor 27674 and 27694 is 2.

Also check out the Least Common Multiple of 27674 and 27694