What is the Greatest Common Factor of 84140 and 84156?

Greatest common factor (GCF) of 84140 and 84156 is 4.

GCF(84140,84156) = 4

We will now calculate the prime factors of 84140 and 84156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84140 and 84156.

How to find the GCF of 84140 and 84156?

We will first find the prime factorization of 84140 and 84156. After we will calculate the factors of 84140 and 84156 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84156

Prime factors of 84156 are 2, 3, 7013. Prime factorization of 84156 in exponential form is:

84156 = 2² × 3¹ × 7013¹

Step-3: Factors of 84140

List of positive integer factors of 84140 that divides 84140 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

Step-4: Factors of 84156

List of positive integer factors of 84156 that divides 84140 without a remainder.

1, 2, 3, 4, 6, 12, 7013, 14026, 21039, 28052, 42078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84140 and 84156. The biggest common factor number is the GCF number.
So the greatest common factor 84140 and 84156 is 4.

Also check out the Least Common Multiple of 84140 and 84156