What is the Greatest Common Factor of 36528 and 36538?

Greatest common factor (GCF) of 36528 and 36538 is 2.

GCF(36528,36538) = 2

We will now calculate the prime factors of 36528 and 36538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36528 and 36538.

How to find the GCF of 36528 and 36538?

We will first find the prime factorization of 36528 and 36538. After we will calculate the factors of 36528 and 36538 and find the biggest common factor number .

Step-1: Prime Factorization of 36528

Prime factors of 36528 are 2, 3, 761. Prime factorization of 36528 in exponential form is:

36528 = 2⁴ × 3¹ × 761¹

Step-2: Prime Factorization of 36538

Prime factors of 36538 are 2, 18269. Prime factorization of 36538 in exponential form is:

36538 = 2¹ × 18269¹

Step-3: Factors of 36528

List of positive integer factors of 36528 that divides 36528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 761, 1522, 2283, 3044, 4566, 6088, 9132, 12176, 18264

Step-4: Factors of 36538

List of positive integer factors of 36538 that divides 36528 without a remainder.

1, 2, 18269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36528 and 36538. The biggest common factor number is the GCF number.
So the greatest common factor 36528 and 36538 is 2.

Also check out the Least Common Multiple of 36528 and 36538