What is the Greatest Common Factor of 99609 and 99627?

Greatest common factor (GCF) of 99609 and 99627 is 3.

GCF(99609,99627) = 3

We will now calculate the prime factors of 99609 and 99627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99609 and 99627.

How to find the GCF of 99609 and 99627?

We will first find the prime factorization of 99609 and 99627. After we will calculate the factors of 99609 and 99627 and find the biggest common factor number .

Step-1: Prime Factorization of 99609

Prime factors of 99609 are 3, 33203. Prime factorization of 99609 in exponential form is:

99609 = 3¹ × 33203¹

Step-2: Prime Factorization of 99627

Prime factors of 99627 are 3, 11, 3019. Prime factorization of 99627 in exponential form is:

99627 = 3¹ × 11¹ × 3019¹

Step-3: Factors of 99609

List of positive integer factors of 99609 that divides 99609 without a remainder.

1, 3, 33203

Step-4: Factors of 99627

List of positive integer factors of 99627 that divides 99609 without a remainder.

1, 3, 11, 33, 3019, 9057, 33209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99609 and 99627. The biggest common factor number is the GCF number.
So the greatest common factor 99609 and 99627 is 3.

Also check out the Least Common Multiple of 99609 and 99627