What is the Greatest Common Factor of 94128 and 94138?

Greatest common factor (GCF) of 94128 and 94138 is 2.

GCF(94128,94138) = 2

We will now calculate the prime factors of 94128 and 94138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94128 and 94138.

How to find the GCF of 94128 and 94138?

We will first find the prime factorization of 94128 and 94138. After we will calculate the factors of 94128 and 94138 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 94138

Prime factors of 94138 are 2, 11, 389. Prime factorization of 94138 in exponential form is:

94138 = 2¹ × 11² × 389¹

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 94138

List of positive integer factors of 94138 that divides 94128 without a remainder.

1, 2, 11, 22, 121, 242, 389, 778, 4279, 8558, 47069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94128 and 94138. The biggest common factor number is the GCF number.
So the greatest common factor 94128 and 94138 is 2.

Also check out the Least Common Multiple of 94128 and 94138