What is the Greatest Common Factor of 36638 and 36656?

Greatest common factor (GCF) of 36638 and 36656 is 2.

GCF(36638,36656) = 2

We will now calculate the prime factors of 36638 and 36656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36638 and 36656.

How to find the GCF of 36638 and 36656?

We will first find the prime factorization of 36638 and 36656. After we will calculate the factors of 36638 and 36656 and find the biggest common factor number .

Step-1: Prime Factorization of 36638

Prime factors of 36638 are 2, 7, 2617. Prime factorization of 36638 in exponential form is:

36638 = 2¹ × 7¹ × 2617¹

Step-2: Prime Factorization of 36656

Prime factors of 36656 are 2, 29, 79. Prime factorization of 36656 in exponential form is:

36656 = 2⁴ × 29¹ × 79¹

Step-3: Factors of 36638

List of positive integer factors of 36638 that divides 36638 without a remainder.

1, 2, 7, 14, 2617, 5234, 18319

Step-4: Factors of 36656

List of positive integer factors of 36656 that divides 36638 without a remainder.

1, 2, 4, 8, 16, 29, 58, 79, 116, 158, 232, 316, 464, 632, 1264, 2291, 4582, 9164, 18328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36638 and 36656. The biggest common factor number is the GCF number.
So the greatest common factor 36638 and 36656 is 2.

Also check out the Least Common Multiple of 36638 and 36656