What is the Greatest Common Factor of 94128 and 94144?

Greatest common factor (GCF) of 94128 and 94144 is 16.

GCF(94128,94144) = 16

We will now calculate the prime factors of 94128 and 94144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94128 and 94144.

How to find the GCF of 94128 and 94144?

We will first find the prime factorization of 94128 and 94144. After we will calculate the factors of 94128 and 94144 and find the biggest common factor number .

Step-1: Prime Factorization of 94128

Prime factors of 94128 are 2, 3, 37, 53. Prime factorization of 94128 in exponential form is:

94128 = 2⁴ × 3¹ × 37¹ × 53¹

Step-2: Prime Factorization of 94144

Prime factors of 94144 are 2, 1471. Prime factorization of 94144 in exponential form is:

94144 = 2⁶ × 1471¹

Step-3: Factors of 94128

List of positive integer factors of 94128 that divides 94128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 53, 74, 106, 111, 148, 159, 212, 222, 296, 318, 424, 444, 592, 636, 848, 888, 1272, 1776, 1961, 2544, 3922, 5883, 7844, 11766, 15688, 23532, 31376, 47064

Step-4: Factors of 94144

List of positive integer factors of 94144 that divides 94128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1471, 2942, 5884, 11768, 23536, 47072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94128 and 94144. The biggest common factor number is the GCF number.
So the greatest common factor 94128 and 94144 is 16.

Also check out the Least Common Multiple of 94128 and 94144