What is the Greatest Common Factor of 36522 and 36538?

Greatest common factor (GCF) of 36522 and 36538 is 2.

GCF(36522,36538) = 2

We will now calculate the prime factors of 36522 and 36538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36522 and 36538.

How to find the GCF of 36522 and 36538?

We will first find the prime factorization of 36522 and 36538. After we will calculate the factors of 36522 and 36538 and find the biggest common factor number .

Step-1: Prime Factorization of 36522

Prime factors of 36522 are 2, 3, 2029. Prime factorization of 36522 in exponential form is:

36522 = 2¹ × 3² × 2029¹

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 36522

List of positive integer factors of 36522 that divides 36522 without a remainder.

1, 2, 3, 6, 9, 18, 2029, 4058, 6087, 12174, 18261

Step-4: Factors of 36538

List of positive integer factors of 36538 that divides 36522 without a remainder.

1, 2, 18269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36522 and 36538. The biggest common factor number is the GCF number.
So the greatest common factor 36522 and 36538 is 2.

Also check out the Least Common Multiple of 36522 and 36538