What is the Greatest Common Factor of 94120 and 94133?

Greatest common factor (GCF) of 94120 and 94133 is 13.

GCF(94120,94133) = 13

We will now calculate the prime factors of 94120 and 94133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94120 and 94133.

How to find the GCF of 94120 and 94133?

We will first find the prime factorization of 94120 and 94133. After we will calculate the factors of 94120 and 94133 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94133

Prime factors of 94133 are 13, 557. Prime factorization of 94133 in exponential form is:

94133 = 13² × 557¹

Step-3: Factors of 94120

List of positive integer factors of 94120 that divides 94120 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

Step-4: Factors of 94133

List of positive integer factors of 94133 that divides 94120 without a remainder.

1, 13, 169, 557, 7241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94120 and 94133. The biggest common factor number is the GCF number.
So the greatest common factor 94120 and 94133 is 13.

Also check out the Least Common Multiple of 94120 and 94133