What is the Greatest Common Factor of 36489 and 36498?

Greatest common factor (GCF) of 36489 and 36498 is 3.

GCF(36489,36498) = 3

We will now calculate the prime factors of 36489 and 36498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36489 and 36498.

How to find the GCF of 36489 and 36498?

We will first find the prime factorization of 36489 and 36498. After we will calculate the factors of 36489 and 36498 and find the biggest common factor number .

Step-1: Prime Factorization of 36489

Prime factors of 36489 are 3, 12163. Prime factorization of 36489 in exponential form is:

36489 = 3¹ × 12163¹

Step-2: Prime Factorization of 36498

Prime factors of 36498 are 2, 3, 7, 11, 79. Prime factorization of 36498 in exponential form is:

36498 = 2¹ × 3¹ × 7¹ × 11¹ × 79¹

Step-3: Factors of 36489

List of positive integer factors of 36489 that divides 36489 without a remainder.

1, 3, 12163

Step-4: Factors of 36498

List of positive integer factors of 36498 that divides 36489 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 79, 154, 158, 231, 237, 462, 474, 553, 869, 1106, 1659, 1738, 2607, 3318, 5214, 6083, 12166, 18249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36489 and 36498. The biggest common factor number is the GCF number.
So the greatest common factor 36489 and 36498 is 3.

Also check out the Least Common Multiple of 36489 and 36498