What is the Greatest Common Factor of 36612 and 36623?

Greatest common factor (GCF) of 36612 and 36623 is 1.

GCF(36612,36623) = 1

We will now calculate the prime factors of 36612 and 36623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36612 and 36623.

How to find the GCF of 36612 and 36623?

We will first find the prime factorization of 36612 and 36623. After we will calculate the factors of 36612 and 36623 and find the biggest common factor number .

Step-1: Prime Factorization of 36612

Prime factors of 36612 are 2, 3, 113. Prime factorization of 36612 in exponential form is:

36612 = 2² × 3⁴ × 113¹

Step-2: Prime Factorization of 36623

Prime factors of 36623 are 53, 691. Prime factorization of 36623 in exponential form is:

36623 = 53¹ × 691¹

Step-3: Factors of 36612

List of positive integer factors of 36612 that divides 36612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 113, 162, 226, 324, 339, 452, 678, 1017, 1356, 2034, 3051, 4068, 6102, 9153, 12204, 18306

Step-4: Factors of 36623

List of positive integer factors of 36623 that divides 36612 without a remainder.

1, 53, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36612 and 36623. The biggest common factor number is the GCF number.
So the greatest common factor 36612 and 36623 is 1.

Also check out the Least Common Multiple of 36612 and 36623