What is the Greatest Common Factor of 39489 and 39495?

Greatest common factor (GCF) of 39489 and 39495 is 3.

GCF(39489,39495) = 3

We will now calculate the prime factors of 39489 and 39495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39489 and 39495.

How to find the GCF of 39489 and 39495?

We will first find the prime factorization of 39489 and 39495. After we will calculate the factors of 39489 and 39495 and find the biggest common factor number .

Step-1: Prime Factorization of 39489

Prime factors of 39489 are 3, 13163. Prime factorization of 39489 in exponential form is:

39489 = 3¹ × 13163¹

Step-2: Prime Factorization of 39495

Prime factors of 39495 are 3, 5, 2633. Prime factorization of 39495 in exponential form is:

39495 = 3¹ × 5¹ × 2633¹

Step-3: Factors of 39489

List of positive integer factors of 39489 that divides 39489 without a remainder.

1, 3, 13163

Step-4: Factors of 39495

List of positive integer factors of 39495 that divides 39489 without a remainder.

1, 3, 5, 15, 2633, 7899, 13165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39489 and 39495. The biggest common factor number is the GCF number.
So the greatest common factor 39489 and 39495 is 3.

Also check out the Least Common Multiple of 39489 and 39495