What is the Greatest Common Factor of 36678 and 36684?

Greatest common factor (GCF) of 36678 and 36684 is 6.

GCF(36678,36684) = 6

We will now calculate the prime factors of 36678 and 36684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36678 and 36684.

How to find the GCF of 36678 and 36684?

We will first find the prime factorization of 36678 and 36684. After we will calculate the factors of 36678 and 36684 and find the biggest common factor number .

Step-1: Prime Factorization of 36678

Prime factors of 36678 are 2, 3, 6113. Prime factorization of 36678 in exponential form is:

36678 = 2¹ × 3¹ × 6113¹

Step-2: Prime Factorization of 36684

Prime factors of 36684 are 2, 3, 1019. Prime factorization of 36684 in exponential form is:

36684 = 2² × 3² × 1019¹

Step-3: Factors of 36678

List of positive integer factors of 36678 that divides 36678 without a remainder.

1, 2, 3, 6, 6113, 12226, 18339

Step-4: Factors of 36684

List of positive integer factors of 36684 that divides 36678 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1019, 2038, 3057, 4076, 6114, 9171, 12228, 18342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36678 and 36684. The biggest common factor number is the GCF number.
So the greatest common factor 36678 and 36684 is 6.

Also check out the Least Common Multiple of 36678 and 36684