What is the Greatest Common Factor of 36524 and 36538?

Greatest common factor (GCF) of 36524 and 36538 is 2.

GCF(36524,36538) = 2

We will now calculate the prime factors of 36524 and 36538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36524 and 36538.

How to find the GCF of 36524 and 36538?

We will first find the prime factorization of 36524 and 36538. After we will calculate the factors of 36524 and 36538 and find the biggest common factor number .

Step-1: Prime Factorization of 36524

Prime factors of 36524 are 2, 23, 397. Prime factorization of 36524 in exponential form is:

36524 = 2² × 23¹ × 397¹

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 36524

List of positive integer factors of 36524 that divides 36524 without a remainder.

1, 2, 4, 23, 46, 92, 397, 794, 1588, 9131, 18262

Step-4: Factors of 36538

List of positive integer factors of 36538 that divides 36524 without a remainder.

1, 2, 18269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36524 and 36538. The biggest common factor number is the GCF number.
So the greatest common factor 36524 and 36538 is 2.

Also check out the Least Common Multiple of 36524 and 36538