What is the Greatest Common Factor of 84138 and 84152?

Greatest common factor (GCF) of 84138 and 84152 is 2.

GCF(84138,84152) = 2

We will now calculate the prime factors of 84138 and 84152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84138 and 84152.

How to find the GCF of 84138 and 84152?

We will first find the prime factorization of 84138 and 84152. After we will calculate the factors of 84138 and 84152 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 84152

Prime factors of 84152 are 2, 67, 157. Prime factorization of 84152 in exponential form is:

84152 = 2³ × 67¹ × 157¹

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 84152

List of positive integer factors of 84152 that divides 84138 without a remainder.

1, 2, 4, 8, 67, 134, 157, 268, 314, 536, 628, 1256, 10519, 21038, 42076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84138 and 84152. The biggest common factor number is the GCF number.
So the greatest common factor 84138 and 84152 is 2.

Also check out the Least Common Multiple of 84138 and 84152