What is the Greatest Common Factor of 94120 and 94132?

Greatest common factor (GCF) of 94120 and 94132 is 4.

GCF(94120,94132) = 4

We will now calculate the prime factors of 94120 and 94132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94120 and 94132.

How to find the GCF of 94120 and 94132?

We will first find the prime factorization of 94120 and 94132. After we will calculate the factors of 94120 and 94132 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 94132

Prime factors of 94132 are 2, 101, 233. Prime factorization of 94132 in exponential form is:

94132 = 2² × 101¹ × 233¹

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 94132

List of positive integer factors of 94132 that divides 94120 without a remainder.

1, 2, 4, 101, 202, 233, 404, 466, 932, 23533, 47066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94120 and 94132. The biggest common factor number is the GCF number.
So the greatest common factor 94120 and 94132 is 4.

Also check out the Least Common Multiple of 94120 and 94132