What is the Greatest Common Factor of 84100 and 84116?

Greatest common factor (GCF) of 84100 and 84116 is 4.

GCF(84100,84116) = 4

We will now calculate the prime factors of 84100 and 84116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84100 and 84116.

How to find the GCF of 84100 and 84116?

We will first find the prime factorization of 84100 and 84116. After we will calculate the factors of 84100 and 84116 and find the biggest common factor number .

Step-1: Prime Factorization of 84100

Prime factors of 84100 are 2, 5, 29. Prime factorization of 84100 in exponential form is:

84100 = 2² × 5² × 29²

Step-2: Prime Factorization of 84116

Prime factors of 84116 are 2, 17, 1237. Prime factorization of 84116 in exponential form is:

84116 = 2² × 17¹ × 1237¹

Step-3: Factors of 84100

List of positive integer factors of 84100 that divides 84100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 841, 1450, 1682, 2900, 3364, 4205, 8410, 16820, 21025, 42050

Step-4: Factors of 84116

List of positive integer factors of 84116 that divides 84100 without a remainder.

1, 2, 4, 17, 34, 68, 1237, 2474, 4948, 21029, 42058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84100 and 84116. The biggest common factor number is the GCF number.
So the greatest common factor 84100 and 84116 is 4.

Also check out the Least Common Multiple of 84100 and 84116