What is the Greatest Common Factor of 94120 and 94136?

Greatest common factor (GCF) of 94120 and 94136 is 8.

GCF(94120,94136) = 8

We will now calculate the prime factors of 94120 and 94136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94120 and 94136.

How to find the GCF of 94120 and 94136?

We will first find the prime factorization of 94120 and 94136. After we will calculate the factors of 94120 and 94136 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 94136

Prime factors of 94136 are 2, 7, 41. Prime factorization of 94136 in exponential form is:

94136 = 2³ × 7¹ × 41²

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 94136

List of positive integer factors of 94136 that divides 94120 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 1681, 2296, 3362, 6724, 11767, 13448, 23534, 47068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94120 and 94136. The biggest common factor number is the GCF number.
So the greatest common factor 94120 and 94136 is 8.

Also check out the Least Common Multiple of 94120 and 94136