What is the Greatest Common Factor of 94100 and 94120?

Greatest common factor (GCF) of 94100 and 94120 is 20.

GCF(94100,94120) = 20

We will now calculate the prime factors of 94100 and 94120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94100 and 94120.

How to find the GCF of 94100 and 94120?

We will first find the prime factorization of 94100 and 94120. After we will calculate the factors of 94100 and 94120 and find the biggest common factor number .

Step-1: Prime Factorization of 94100

Prime factors of 94100 are 2, 5, 941. Prime factorization of 94100 in exponential form is:

94100 = 2² × 5² × 941¹

Step-2: Prime Factorization of 94120

Prime factors of 94120 are 2, 5, 13, 181. Prime factorization of 94120 in exponential form is:

94120 = 2³ × 5¹ × 13¹ × 181¹

Step-3: Factors of 94100

List of positive integer factors of 94100 that divides 94100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 941, 1882, 3764, 4705, 9410, 18820, 23525, 47050

Step-4: Factors of 94120

List of positive integer factors of 94120 that divides 94100 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 181, 260, 362, 520, 724, 905, 1448, 1810, 2353, 3620, 4706, 7240, 9412, 11765, 18824, 23530, 47060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94100 and 94120. The biggest common factor number is the GCF number.
So the greatest common factor 94100 and 94120 is 20.

Also check out the Least Common Multiple of 94100 and 94120