What is the Greatest Common Factor of 96474 and 96489?

Greatest common factor (GCF) of 96474 and 96489 is 3.

GCF(96474,96489) = 3

We will now calculate the prime factors of 96474 and 96489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96474 and 96489.

How to find the GCF of 96474 and 96489?

We will first find the prime factorization of 96474 and 96489. After we will calculate the factors of 96474 and 96489 and find the biggest common factor number .

Step-1: Prime Factorization of 96474

Prime factors of 96474 are 2, 3, 7, 2297. Prime factorization of 96474 in exponential form is:

96474 = 2¹ × 3¹ × 7¹ × 2297¹

Step-2: Prime Factorization of 96489

Prime factors of 96489 are 3, 71, 151. Prime factorization of 96489 in exponential form is:

96489 = 3² × 71¹ × 151¹

Step-3: Factors of 96474

List of positive integer factors of 96474 that divides 96474 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2297, 4594, 6891, 13782, 16079, 32158, 48237

Step-4: Factors of 96489

List of positive integer factors of 96489 that divides 96474 without a remainder.

1, 3, 9, 71, 151, 213, 453, 639, 1359, 10721, 32163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96474 and 96489. The biggest common factor number is the GCF number.
So the greatest common factor 96474 and 96489 is 3.

Also check out the Least Common Multiple of 96474 and 96489