What is the Greatest Common Factor of 84094 and 84100?

Greatest common factor (GCF) of 84094 and 84100 is 2.

GCF(84094,84100) = 2

We will now calculate the prime factors of 84094 and 84100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84094 and 84100.

How to find the GCF of 84094 and 84100?

We will first find the prime factorization of 84094 and 84100. After we will calculate the factors of 84094 and 84100 and find the biggest common factor number .

Step-1: Prime Factorization of 84094

Prime factors of 84094 are 2, 19, 2213. Prime factorization of 84094 in exponential form is:

84094 = 2¹ × 19¹ × 2213¹

Step-2: 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-3: Factors of 84094

List of positive integer factors of 84094 that divides 84094 without a remainder.

1, 2, 19, 38, 2213, 4426, 42047

Step-4: Factors of 84100

List of positive integer factors of 84100 that divides 84094 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84094 and 84100. The biggest common factor number is the GCF number.
So the greatest common factor 84094 and 84100 is 2.

Also check out the Least Common Multiple of 84094 and 84100