What is the Greatest Common Factor of 63489 and 63498?

Greatest common factor (GCF) of 63489 and 63498 is 3.

GCF(63489,63498) = 3

We will now calculate the prime factors of 63489 and 63498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63489 and 63498.

How to find the GCF of 63489 and 63498?

We will first find the prime factorization of 63489 and 63498. After we will calculate the factors of 63489 and 63498 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 63498

Prime factors of 63498 are 2, 3, 19, 557. Prime factorization of 63498 in exponential form is:

63498 = 2¹ × 3¹ × 19¹ × 557¹

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 63498

List of positive integer factors of 63498 that divides 63489 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 557, 1114, 1671, 3342, 10583, 21166, 31749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63489 and 63498. The biggest common factor number is the GCF number.
So the greatest common factor 63489 and 63498 is 3.

Also check out the Least Common Multiple of 63489 and 63498