What is the Greatest Common Factor of 84108 and 84120?

Greatest common factor (GCF) of 84108 and 84120 is 12.

GCF(84108,84120) = 12

We will now calculate the prime factors of 84108 and 84120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84108 and 84120.

How to find the GCF of 84108 and 84120?

We will first find the prime factorization of 84108 and 84120. After we will calculate the factors of 84108 and 84120 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 84120

Prime factors of 84120 are 2, 3, 5, 701. Prime factorization of 84120 in exponential form is:

84120 = 2³ × 3¹ × 5¹ × 701¹

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 84120

List of positive integer factors of 84120 that divides 84108 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 701, 1402, 2103, 2804, 3505, 4206, 5608, 7010, 8412, 10515, 14020, 16824, 21030, 28040, 42060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84108 and 84120. The biggest common factor number is the GCF number.
So the greatest common factor 84108 and 84120 is 12.

Also check out the Least Common Multiple of 84108 and 84120