What is the Greatest Common Factor of 99144 and 99159?

Greatest common factor (GCF) of 99144 and 99159 is 3.

GCF(99144,99159) = 3

We will now calculate the prime factors of 99144 and 99159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99144 and 99159.

How to find the GCF of 99144 and 99159?

We will first find the prime factorization of 99144 and 99159. After we will calculate the factors of 99144 and 99159 and find the biggest common factor number .

Step-1: Prime Factorization of 99144

Prime factors of 99144 are 2, 3, 17. Prime factorization of 99144 in exponential form is:

99144 = 2³ × 3⁶ × 17¹

Step-2: Prime Factorization of 99159

Prime factors of 99159 are 3, 33053. Prime factorization of 99159 in exponential form is:

99159 = 3¹ × 33053¹

Step-3: Factors of 99144

List of positive integer factors of 99144 that divides 99144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 81, 102, 108, 136, 153, 162, 204, 216, 243, 306, 324, 408, 459, 486, 612, 648, 729, 918, 972, 1224, 1377, 1458, 1836, 1944, 2754, 2916, 3672, 4131, 5508, 5832, 8262, 11016, 12393, 16524, 24786, 33048, 49572

Step-4: Factors of 99159

List of positive integer factors of 99159 that divides 99144 without a remainder.

1, 3, 33053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99144 and 99159. The biggest common factor number is the GCF number.
So the greatest common factor 99144 and 99159 is 3.

Also check out the Least Common Multiple of 99144 and 99159