What is the Greatest Common Factor of 84108 and 84118?

Greatest common factor (GCF) of 84108 and 84118 is 2.

GCF(84108,84118) = 2

We will now calculate the prime factors of 84108 and 84118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84108 and 84118.

How to find the GCF of 84108 and 84118?

We will first find the prime factorization of 84108 and 84118. After we will calculate the factors of 84108 and 84118 and find the biggest common factor number .

Step-1: Prime Factorization of 84108

Prime factors of 84108 are 2, 3, 43, 163. Prime factorization of 84108 in exponential form is:

84108 = 2² × 3¹ × 43¹ × 163¹

Step-2: Prime Factorization of 84118

Prime factors of 84118 are 2, 137, 307. Prime factorization of 84118 in exponential form is:

84118 = 2¹ × 137¹ × 307¹

Step-3: Factors of 84108

List of positive integer factors of 84108 that divides 84108 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 163, 172, 258, 326, 489, 516, 652, 978, 1956, 7009, 14018, 21027, 28036, 42054

Step-4: Factors of 84118

List of positive integer factors of 84118 that divides 84108 without a remainder.

1, 2, 137, 274, 307, 614, 42059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84108 and 84118. The biggest common factor number is the GCF number.
So the greatest common factor 84108 and 84118 is 2.

Also check out the Least Common Multiple of 84108 and 84118