What is the Greatest Common Factor of 36508 and 36512?

Greatest common factor (GCF) of 36508 and 36512 is 4.

GCF(36508,36512) = 4

We will now calculate the prime factors of 36508 and 36512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36508 and 36512.

How to find the GCF of 36508 and 36512?

We will first find the prime factorization of 36508 and 36512. After we will calculate the factors of 36508 and 36512 and find the biggest common factor number .

Step-1: Prime Factorization of 36508

Prime factors of 36508 are 2, 9127. Prime factorization of 36508 in exponential form is:

36508 = 2² × 9127¹

Step-2: Prime Factorization of 36512

Prime factors of 36512 are 2, 7, 163. Prime factorization of 36512 in exponential form is:

36512 = 2⁵ × 7¹ × 163¹

Step-3: Factors of 36508

List of positive integer factors of 36508 that divides 36508 without a remainder.

1, 2, 4, 9127, 18254

Step-4: Factors of 36512

List of positive integer factors of 36512 that divides 36508 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 163, 224, 326, 652, 1141, 1304, 2282, 2608, 4564, 5216, 9128, 18256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36508 and 36512. The biggest common factor number is the GCF number.
So the greatest common factor 36508 and 36512 is 4.

Also check out the Least Common Multiple of 36508 and 36512