What is the Greatest Common Factor of 36597 and 36608?

Greatest common factor (GCF) of 36597 and 36608 is 11.

GCF(36597,36608) = 11

We will now calculate the prime factors of 36597 and 36608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36597 and 36608.

How to find the GCF of 36597 and 36608?

We will first find the prime factorization of 36597 and 36608. After we will calculate the factors of 36597 and 36608 and find the biggest common factor number .

Step-1: Prime Factorization of 36597

Prime factors of 36597 are 3, 11, 1109. Prime factorization of 36597 in exponential form is:

36597 = 3¹ × 11¹ × 1109¹

Step-2: Prime Factorization of 36608

Prime factors of 36608 are 2, 11, 13. Prime factorization of 36608 in exponential form is:

36608 = 2⁸ × 11¹ × 13¹

Step-3: Factors of 36597

List of positive integer factors of 36597 that divides 36597 without a remainder.

1, 3, 11, 33, 1109, 3327, 12199

Step-4: Factors of 36608

List of positive integer factors of 36608 that divides 36597 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128, 143, 176, 208, 256, 286, 352, 416, 572, 704, 832, 1144, 1408, 1664, 2288, 2816, 3328, 4576, 9152, 18304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36597 and 36608. The biggest common factor number is the GCF number.
So the greatest common factor 36597 and 36608 is 11.

Also check out the Least Common Multiple of 36597 and 36608