What is the Greatest Common Factor of 84115 and 84120?

Greatest common factor (GCF) of 84115 and 84120 is 5.

GCF(84115,84120) = 5

We will now calculate the prime factors of 84115 and 84120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84115 and 84120.

How to find the GCF of 84115 and 84120?

We will first find the prime factorization of 84115 and 84120. After we will calculate the factors of 84115 and 84120 and find the biggest common factor number .

Step-1: Prime Factorization of 84115

Prime factors of 84115 are 5, 16823. Prime factorization of 84115 in exponential form is:

84115 = 5¹ × 16823¹

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 84115

List of positive integer factors of 84115 that divides 84115 without a remainder.

1, 5, 16823

Step-4: Factors of 84120

List of positive integer factors of 84120 that divides 84115 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 84115 and 84120. The biggest common factor number is the GCF number.
So the greatest common factor 84115 and 84120 is 5.

Also check out the Least Common Multiple of 84115 and 84120