What is the Greatest Common Factor of 36639 and 36657?

Greatest common factor (GCF) of 36639 and 36657 is 9.

GCF(36639,36657) = 9

We will now calculate the prime factors of 36639 and 36657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36639 and 36657.

How to find the GCF of 36639 and 36657?

We will first find the prime factorization of 36639 and 36657. After we will calculate the factors of 36639 and 36657 and find the biggest common factor number .

Step-1: Prime Factorization of 36639

Prime factors of 36639 are 3, 23, 59. Prime factorization of 36639 in exponential form is:

36639 = 3³ × 23¹ × 59¹

Step-2: Prime Factorization of 36657

Prime factors of 36657 are 3, 4073. Prime factorization of 36657 in exponential form is:

36657 = 3² × 4073¹

Step-3: Factors of 36639

List of positive integer factors of 36639 that divides 36639 without a remainder.

1, 3, 9, 23, 27, 59, 69, 177, 207, 531, 621, 1357, 1593, 4071, 12213

Step-4: Factors of 36657

List of positive integer factors of 36657 that divides 36639 without a remainder.

1, 3, 9, 4073, 12219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36639 and 36657. The biggest common factor number is the GCF number.
So the greatest common factor 36639 and 36657 is 9.

Also check out the Least Common Multiple of 36639 and 36657