What is the Greatest Common Factor of 63489 and 63495?

Greatest common factor (GCF) of 63489 and 63495 is 3.

GCF(63489,63495) = 3

We will now calculate the prime factors of 63489 and 63495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63489 and 63495.

How to find the GCF of 63489 and 63495?

We will first find the prime factorization of 63489 and 63495. After we will calculate the factors of 63489 and 63495 and find the biggest common factor number .

Step-1: Prime Factorization of 63489

Prime factors of 63489 are 3, 21163. Prime factorization of 63489 in exponential form is:

63489 = 3¹ × 21163¹

Step-2: Prime Factorization of 63495

Prime factors of 63495 are 3, 5, 17, 83. Prime factorization of 63495 in exponential form is:

63495 = 3² × 5¹ × 17¹ × 83¹

Step-3: Factors of 63489

List of positive integer factors of 63489 that divides 63489 without a remainder.

1, 3, 21163

Step-4: Factors of 63495

List of positive integer factors of 63495 that divides 63489 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 83, 85, 153, 249, 255, 415, 747, 765, 1245, 1411, 3735, 4233, 7055, 12699, 21165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63489 and 63495. The biggest common factor number is the GCF number.
So the greatest common factor 63489 and 63495 is 3.

Also check out the Least Common Multiple of 63489 and 63495