What is the Greatest Common Factor of 99429 and 99444?

Greatest common factor (GCF) of 99429 and 99444 is 3.

GCF(99429,99444) = 3

We will now calculate the prime factors of 99429 and 99444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99429 and 99444.

How to find the GCF of 99429 and 99444?

We will first find the prime factorization of 99429 and 99444. After we will calculate the factors of 99429 and 99444 and find the biggest common factor number .

Step-1: Prime Factorization of 99429

Prime factors of 99429 are 3, 11, 23, 131. Prime factorization of 99429 in exponential form is:

99429 = 3¹ × 11¹ × 23¹ × 131¹

Step-2: Prime Factorization of 99444

Prime factors of 99444 are 2, 3, 8287. Prime factorization of 99444 in exponential form is:

99444 = 2² × 3¹ × 8287¹

Step-3: Factors of 99429

List of positive integer factors of 99429 that divides 99429 without a remainder.

1, 3, 11, 23, 33, 69, 131, 253, 393, 759, 1441, 3013, 4323, 9039, 33143

Step-4: Factors of 99444

List of positive integer factors of 99444 that divides 99429 without a remainder.

1, 2, 3, 4, 6, 12, 8287, 16574, 24861, 33148, 49722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99429 and 99444. The biggest common factor number is the GCF number.
So the greatest common factor 99429 and 99444 is 3.

Also check out the Least Common Multiple of 99429 and 99444