What is the Greatest Common Factor of 36612 and 36626?

Greatest common factor (GCF) of 36612 and 36626 is 2.

GCF(36612,36626) = 2

We will now calculate the prime factors of 36612 and 36626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36612 and 36626.

How to find the GCF of 36612 and 36626?

We will first find the prime factorization of 36612 and 36626. After we will calculate the factors of 36612 and 36626 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 36626

Prime factors of 36626 are 2, 18313. Prime factorization of 36626 in exponential form is:

36626 = 2¹ × 18313¹

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 36626

List of positive integer factors of 36626 that divides 36612 without a remainder.

1, 2, 18313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36612 and 36626. The biggest common factor number is the GCF number.
So the greatest common factor 36612 and 36626 is 2.

Also check out the Least Common Multiple of 36612 and 36626