What is the Greatest Common Factor of 99474 and 99489?

Greatest common factor (GCF) of 99474 and 99489 is 3.

GCF(99474,99489) = 3

We will now calculate the prime factors of 99474 and 99489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99474 and 99489.

How to find the GCF of 99474 and 99489?

We will first find the prime factorization of 99474 and 99489. After we will calculate the factors of 99474 and 99489 and find the biggest common factor number .

Step-1: Prime Factorization of 99474

Prime factors of 99474 are 2, 3, 59, 281. Prime factorization of 99474 in exponential form is:

99474 = 2¹ × 3¹ × 59¹ × 281¹

Step-2: Prime Factorization of 99489

Prime factors of 99489 are 3, 13, 2551. Prime factorization of 99489 in exponential form is:

99489 = 3¹ × 13¹ × 2551¹

Step-3: Factors of 99474

List of positive integer factors of 99474 that divides 99474 without a remainder.

1, 2, 3, 6, 59, 118, 177, 281, 354, 562, 843, 1686, 16579, 33158, 49737

Step-4: Factors of 99489

List of positive integer factors of 99489 that divides 99474 without a remainder.

1, 3, 13, 39, 2551, 7653, 33163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99474 and 99489. The biggest common factor number is the GCF number.
So the greatest common factor 99474 and 99489 is 3.

Also check out the Least Common Multiple of 99474 and 99489