What is the Greatest Common Factor of 99429 and 99441?

Greatest common factor (GCF) of 99429 and 99441 is 3.

GCF(99429,99441) = 3

We will now calculate the prime factors of 99429 and 99441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99429 and 99441.

How to find the GCF of 99429 and 99441?

We will first find the prime factorization of 99429 and 99441. After we will calculate the factors of 99429 and 99441 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 99441

Prime factors of 99441 are 3, 29, 127. Prime factorization of 99441 in exponential form is:

99441 = 3³ × 29¹ × 127¹

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 99441

List of positive integer factors of 99441 that divides 99429 without a remainder.

1, 3, 9, 27, 29, 87, 127, 261, 381, 783, 1143, 3429, 3683, 11049, 33147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99429 and 99441. The biggest common factor number is the GCF number.
So the greatest common factor 99429 and 99441 is 3.

Also check out the Least Common Multiple of 99429 and 99441