What is the Greatest Common Factor of 84126 and 84132?

Greatest common factor (GCF) of 84126 and 84132 is 6.

GCF(84126,84132) = 6

We will now calculate the prime factors of 84126 and 84132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84126 and 84132.

How to find the GCF of 84126 and 84132?

We will first find the prime factorization of 84126 and 84132. After we will calculate the factors of 84126 and 84132 and find the biggest common factor number .

Step-1: Prime Factorization of 84126

Prime factors of 84126 are 2, 3, 7, 2003. Prime factorization of 84126 in exponential form is:

84126 = 2¹ × 3¹ × 7¹ × 2003¹

Step-2: 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-3: Factors of 84126

List of positive integer factors of 84126 that divides 84126 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2003, 4006, 6009, 12018, 14021, 28042, 42063

Step-4: Factors of 84132

List of positive integer factors of 84132 that divides 84126 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84126 and 84132. The biggest common factor number is the GCF number.
So the greatest common factor 84126 and 84132 is 6.

Also check out the Least Common Multiple of 84126 and 84132