What is the Greatest Common Factor of 36654 and 36674?

Greatest common factor (GCF) of 36654 and 36674 is 2.

GCF(36654,36674) = 2

We will now calculate the prime factors of 36654 and 36674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36654 and 36674.

How to find the GCF of 36654 and 36674?

We will first find the prime factorization of 36654 and 36674. After we will calculate the factors of 36654 and 36674 and find the biggest common factor number .

Step-1: Prime Factorization of 36654

Prime factors of 36654 are 2, 3, 41, 149. Prime factorization of 36654 in exponential form is:

36654 = 2¹ × 3¹ × 41¹ × 149¹

Step-2: Prime Factorization of 36674

Prime factors of 36674 are 2, 11, 1667. Prime factorization of 36674 in exponential form is:

36674 = 2¹ × 11¹ × 1667¹

Step-3: Factors of 36654

List of positive integer factors of 36654 that divides 36654 without a remainder.

1, 2, 3, 6, 41, 82, 123, 149, 246, 298, 447, 894, 6109, 12218, 18327

Step-4: Factors of 36674

List of positive integer factors of 36674 that divides 36654 without a remainder.

1, 2, 11, 22, 1667, 3334, 18337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36654 and 36674. The biggest common factor number is the GCF number.
So the greatest common factor 36654 and 36674 is 2.

Also check out the Least Common Multiple of 36654 and 36674