What is the Greatest Common Factor of 84120 and 84140?

Greatest common factor (GCF) of 84120 and 84140 is 20.

GCF(84120,84140) = 20

We will now calculate the prime factors of 84120 and 84140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84120 and 84140.

How to find the GCF of 84120 and 84140?

We will first find the prime factorization of 84120 and 84140. After we will calculate the factors of 84120 and 84140 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84140

Prime factors of 84140 are 2, 5, 7, 601. Prime factorization of 84140 in exponential form is:

84140 = 2² × 5¹ × 7¹ × 601¹

Step-3: Factors of 84120

List of positive integer factors of 84120 that divides 84120 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

Step-4: Factors of 84140

List of positive integer factors of 84140 that divides 84120 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 601, 1202, 2404, 3005, 4207, 6010, 8414, 12020, 16828, 21035, 42070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84120 and 84140. The biggest common factor number is the GCF number.
So the greatest common factor 84120 and 84140 is 20.

Also check out the Least Common Multiple of 84120 and 84140