What is the Greatest Common Factor of 36639 and 36647?

Greatest common factor (GCF) of 36639 and 36647 is 1.

GCF(36639,36647) = 1

We will now calculate the prime factors of 36639 and 36647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36639 and 36647.

How to find the GCF of 36639 and 36647?

We will first find the prime factorization of 36639 and 36647. After we will calculate the factors of 36639 and 36647 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 36647

Prime factors of 36647 are 13, 2819. Prime factorization of 36647 in exponential form is:

36647 = 13¹ × 2819¹

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 36647

List of positive integer factors of 36647 that divides 36639 without a remainder.

1, 13, 2819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36639 and 36647. The biggest common factor number is the GCF number.
So the greatest common factor 36639 and 36647 is 1.

Also check out the Least Common Multiple of 36639 and 36647