What is the Greatest Common Factor of 36474 and 36489?

Greatest common factor (GCF) of 36474 and 36489 is 3.

GCF(36474,36489) = 3

We will now calculate the prime factors of 36474 and 36489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36474 and 36489.

How to find the GCF of 36474 and 36489?

We will first find the prime factorization of 36474 and 36489. After we will calculate the factors of 36474 and 36489 and find the biggest common factor number .

Step-1: Prime Factorization of 36474

Prime factors of 36474 are 2, 3, 6079. Prime factorization of 36474 in exponential form is:

36474 = 2¹ × 3¹ × 6079¹

Step-2: Prime Factorization of 36489

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

36489 = 3¹ × 12163¹

Step-3: Factors of 36474

List of positive integer factors of 36474 that divides 36474 without a remainder.

1, 2, 3, 6, 6079, 12158, 18237

Step-4: Factors of 36489

List of positive integer factors of 36489 that divides 36474 without a remainder.

1, 3, 12163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36474 and 36489. The biggest common factor number is the GCF number.
So the greatest common factor 36474 and 36489 is 3.

Also check out the Least Common Multiple of 36474 and 36489