What is the Greatest Common Factor of 99141 and 99153?

Greatest common factor (GCF) of 99141 and 99153 is 3.

GCF(99141,99153) = 3

We will now calculate the prime factors of 99141 and 99153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99141 and 99153.

How to find the GCF of 99141 and 99153?

We will first find the prime factorization of 99141 and 99153. After we will calculate the factors of 99141 and 99153 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99153

Prime factors of 99153 are 3, 23, 479. Prime factorization of 99153 in exponential form is:

99153 = 3² × 23¹ × 479¹

Step-3: Factors of 99141

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

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

Step-4: Factors of 99153

List of positive integer factors of 99153 that divides 99141 without a remainder.

1, 3, 9, 23, 69, 207, 479, 1437, 4311, 11017, 33051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99141 and 99153. The biggest common factor number is the GCF number.
So the greatest common factor 99141 and 99153 is 3.

Also check out the Least Common Multiple of 99141 and 99153