What is the Greatest Common Factor of 36608 and 36627?

Greatest common factor (GCF) of 36608 and 36627 is 1.

GCF(36608,36627) = 1

We will now calculate the prime factors of 36608 and 36627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36608 and 36627.

How to find the GCF of 36608 and 36627?

We will first find the prime factorization of 36608 and 36627. After we will calculate the factors of 36608 and 36627 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36627

Prime factors of 36627 are 3, 29, 421. Prime factorization of 36627 in exponential form is:

36627 = 3¹ × 29¹ × 421¹

Step-3: Factors of 36608

List of positive integer factors of 36608 that divides 36608 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

Step-4: Factors of 36627

List of positive integer factors of 36627 that divides 36608 without a remainder.

1, 3, 29, 87, 421, 1263, 12209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36608 and 36627. The biggest common factor number is the GCF number.
So the greatest common factor 36608 and 36627 is 1.

Also check out the Least Common Multiple of 36608 and 36627