What is the Greatest Common Factor of 99123 and 99141?

Greatest common factor (GCF) of 99123 and 99141 is 3.

GCF(99123,99141) = 3

We will now calculate the prime factors of 99123 and 99141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99123 and 99141.

How to find the GCF of 99123 and 99141?

We will first find the prime factorization of 99123 and 99141. After we will calculate the factors of 99123 and 99141 and find the biggest common factor number .

Step-1: Prime Factorization of 99123

Prime factors of 99123 are 3, 19, 37, 47. Prime factorization of 99123 in exponential form is:

99123 = 3¹ × 19¹ × 37¹ × 47¹

Step-2: Prime Factorization of 99141

Prime factors of 99141 are 3, 7, 4721. Prime factorization of 99141 in exponential form is:

99141 = 3¹ × 7¹ × 4721¹

Step-3: Factors of 99123

List of positive integer factors of 99123 that divides 99123 without a remainder.

1, 3, 19, 37, 47, 57, 111, 141, 703, 893, 1739, 2109, 2679, 5217, 33041

Step-4: Factors of 99141

List of positive integer factors of 99141 that divides 99123 without a remainder.

1, 3, 7, 21, 4721, 14163, 33047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99123 and 99141. The biggest common factor number is the GCF number.
So the greatest common factor 99123 and 99141 is 3.

Also check out the Least Common Multiple of 99123 and 99141