What is the Greatest Common Factor of 99297 and 99312?

Greatest common factor (GCF) of 99297 and 99312 is 3.

GCF(99297,99312) = 3

We will now calculate the prime factors of 99297 and 99312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99297 and 99312.

How to find the GCF of 99297 and 99312?

We will first find the prime factorization of 99297 and 99312. After we will calculate the factors of 99297 and 99312 and find the biggest common factor number .

Step-1: Prime Factorization of 99297

Prime factors of 99297 are 3, 11, 17, 59. Prime factorization of 99297 in exponential form is:

99297 = 3² × 11¹ × 17¹ × 59¹

Step-2: Prime Factorization of 99312

Prime factors of 99312 are 2, 3, 2069. Prime factorization of 99312 in exponential form is:

99312 = 2⁴ × 3¹ × 2069¹

Step-3: Factors of 99297

List of positive integer factors of 99297 that divides 99297 without a remainder.

1, 3, 9, 11, 17, 33, 51, 59, 99, 153, 177, 187, 531, 561, 649, 1003, 1683, 1947, 3009, 5841, 9027, 11033, 33099

Step-4: Factors of 99312

List of positive integer factors of 99312 that divides 99297 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2069, 4138, 6207, 8276, 12414, 16552, 24828, 33104, 49656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99297 and 99312. The biggest common factor number is the GCF number.
So the greatest common factor 99297 and 99312 is 3.

Also check out the Least Common Multiple of 99297 and 99312