What is the Greatest Common Factor of 84138 and 84158?

Greatest common factor (GCF) of 84138 and 84158 is 2.

GCF(84138,84158) = 2

We will now calculate the prime factors of 84138 and 84158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84138 and 84158.

How to find the GCF of 84138 and 84158?

We will first find the prime factorization of 84138 and 84158. After we will calculate the factors of 84138 and 84158 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 84158

Prime factors of 84158 are 2, 29, 1451. Prime factorization of 84158 in exponential form is:

84158 = 2¹ × 29¹ × 1451¹

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 84158

List of positive integer factors of 84158 that divides 84138 without a remainder.

1, 2, 29, 58, 1451, 2902, 42079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84138 and 84158. The biggest common factor number is the GCF number.
So the greatest common factor 84138 and 84158 is 2.

Also check out the Least Common Multiple of 84138 and 84158