What is the Greatest Common Factor of 36684 and 36702?

Greatest common factor (GCF) of 36684 and 36702 is 18.

GCF(36684,36702) = 18

We will now calculate the prime factors of 36684 and 36702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36684 and 36702.

How to find the GCF of 36684 and 36702?

We will first find the prime factorization of 36684 and 36702. After we will calculate the factors of 36684 and 36702 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36702

Prime factors of 36702 are 2, 3, 2039. Prime factorization of 36702 in exponential form is:

36702 = 2¹ × 3² × 2039¹

Step-3: Factors of 36684

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

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

Step-4: Factors of 36702

List of positive integer factors of 36702 that divides 36684 without a remainder.

1, 2, 3, 6, 9, 18, 2039, 4078, 6117, 12234, 18351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36684 and 36702. The biggest common factor number is the GCF number.
So the greatest common factor 36684 and 36702 is 18.

Also check out the Least Common Multiple of 36684 and 36702