What is the Greatest Common Factor of 84138 and 84156?

Greatest common factor (GCF) of 84138 and 84156 is 6.

GCF(84138,84156) = 6

We will now calculate the prime factors of 84138 and 84156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84138 and 84156.

How to find the GCF of 84138 and 84156?

We will first find the prime factorization of 84138 and 84156. After we will calculate the factors of 84138 and 84156 and find the biggest common factor number .

Step-1: Prime Factorization of 84138

Prime factors of 84138 are 2, 3, 37, 379. Prime factorization of 84138 in exponential form is:

84138 = 2¹ × 3¹ × 37¹ × 379¹

Step-2: Prime Factorization of 84156

Prime factors of 84156 are 2, 3, 7013. Prime factorization of 84156 in exponential form is:

84156 = 2² × 3¹ × 7013¹

Step-3: Factors of 84138

List of positive integer factors of 84138 that divides 84138 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 379, 758, 1137, 2274, 14023, 28046, 42069

Step-4: Factors of 84156

List of positive integer factors of 84156 that divides 84138 without a remainder.

1, 2, 3, 4, 6, 12, 7013, 14026, 21039, 28052, 42078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84138 and 84156. The biggest common factor number is the GCF number.
So the greatest common factor 84138 and 84156 is 6.

Also check out the Least Common Multiple of 84138 and 84156