What is the Greatest Common Factor of 84132 and 84144?

Greatest common factor (GCF) of 84132 and 84144 is 12.

GCF(84132,84144) = 12

We will now calculate the prime factors of 84132 and 84144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84132 and 84144.

How to find the GCF of 84132 and 84144?

We will first find the prime factorization of 84132 and 84144. After we will calculate the factors of 84132 and 84144 and find the biggest common factor number .

Step-1: Prime Factorization of 84132

Prime factors of 84132 are 2, 3, 19, 41. Prime factorization of 84132 in exponential form is:

84132 = 2² × 3³ × 19¹ × 41¹

Step-2: Prime Factorization of 84144

Prime factors of 84144 are 2, 3, 1753. Prime factorization of 84144 in exponential form is:

84144 = 2⁴ × 3¹ × 1753¹

Step-3: Factors of 84132

List of positive integer factors of 84132 that divides 84132 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 41, 54, 57, 76, 82, 108, 114, 123, 164, 171, 228, 246, 342, 369, 492, 513, 684, 738, 779, 1026, 1107, 1476, 1558, 2052, 2214, 2337, 3116, 4428, 4674, 7011, 9348, 14022, 21033, 28044, 42066

Step-4: Factors of 84144

List of positive integer factors of 84144 that divides 84132 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1753, 3506, 5259, 7012, 10518, 14024, 21036, 28048, 42072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84132 and 84144. The biggest common factor number is the GCF number.
So the greatest common factor 84132 and 84144 is 12.

Also check out the Least Common Multiple of 84132 and 84144