What is the Greatest Common Factor of 99144 and 99163?

Greatest common factor (GCF) of 99144 and 99163 is 1.

GCF(99144,99163) = 1

We will now calculate the prime factors of 99144 and 99163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99144 and 99163.

How to find the GCF of 99144 and 99163?

We will first find the prime factorization of 99144 and 99163. After we will calculate the factors of 99144 and 99163 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 99163

Prime factors of 99163 are 53, 1871. Prime factorization of 99163 in exponential form is:

99163 = 53¹ × 1871¹

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 99163

List of positive integer factors of 99163 that divides 99144 without a remainder.

1, 53, 1871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99144 and 99163. The biggest common factor number is the GCF number.
So the greatest common factor 99144 and 99163 is 1.

Also check out the Least Common Multiple of 99144 and 99163