What is the Greatest Common Factor of 99309 and 99324?

Greatest common factor (GCF) of 99309 and 99324 is 3.

GCF(99309,99324) = 3

We will now calculate the prime factors of 99309 and 99324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99309 and 99324.

How to find the GCF of 99309 and 99324?

We will first find the prime factorization of 99309 and 99324. After we will calculate the factors of 99309 and 99324 and find the biggest common factor number .

Step-1: Prime Factorization of 99309

Prime factors of 99309 are 3, 7, 4729. Prime factorization of 99309 in exponential form is:

99309 = 3¹ × 7¹ × 4729¹

Step-2: Prime Factorization of 99324

Prime factors of 99324 are 2, 3, 31, 89. Prime factorization of 99324 in exponential form is:

99324 = 2² × 3² × 31¹ × 89¹

Step-3: Factors of 99309

List of positive integer factors of 99309 that divides 99309 without a remainder.

1, 3, 7, 21, 4729, 14187, 33103

Step-4: Factors of 99324

List of positive integer factors of 99324 that divides 99309 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 89, 93, 124, 178, 186, 267, 279, 356, 372, 534, 558, 801, 1068, 1116, 1602, 2759, 3204, 5518, 8277, 11036, 16554, 24831, 33108, 49662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99309 and 99324. The biggest common factor number is the GCF number.
So the greatest common factor 99309 and 99324 is 3.

Also check out the Least Common Multiple of 99309 and 99324