What is the Greatest Common Factor of 42489 and 42498?

Greatest common factor (GCF) of 42489 and 42498 is 9.

GCF(42489,42498) = 9

We will now calculate the prime factors of 42489 and 42498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42489 and 42498.

How to find the GCF of 42489 and 42498?

We will first find the prime factorization of 42489 and 42498. After we will calculate the factors of 42489 and 42498 and find the biggest common factor number .

Step-1: Prime Factorization of 42489

Prime factors of 42489 are 3, 4721. Prime factorization of 42489 in exponential form is:

42489 = 3² × 4721¹

Step-2: Prime Factorization of 42498

Prime factors of 42498 are 2, 3, 787. Prime factorization of 42498 in exponential form is:

42498 = 2¹ × 3³ × 787¹

Step-3: Factors of 42489

List of positive integer factors of 42489 that divides 42489 without a remainder.

1, 3, 9, 4721, 14163

Step-4: Factors of 42498

List of positive integer factors of 42498 that divides 42489 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 787, 1574, 2361, 4722, 7083, 14166, 21249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42489 and 42498. The biggest common factor number is the GCF number.
So the greatest common factor 42489 and 42498 is 9.

Also check out the Least Common Multiple of 42489 and 42498