What is the Greatest Common Factor of 94116 and 94128?

Greatest common factor (GCF) of 94116 and 94128 is 12.

GCF(94116,94128) = 12

We will now calculate the prime factors of 94116 and 94128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94116 and 94128.

How to find the GCF of 94116 and 94128?

We will first find the prime factorization of 94116 and 94128. After we will calculate the factors of 94116 and 94128 and find the biggest common factor number .

Step-1: Prime Factorization of 94116

Prime factors of 94116 are 2, 3, 11, 23, 31. Prime factorization of 94116 in exponential form is:

94116 = 2² × 3¹ × 11¹ × 23¹ × 31¹

Step-2: 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-3: Factors of 94116

List of positive integer factors of 94116 that divides 94116 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 31, 33, 44, 46, 62, 66, 69, 92, 93, 124, 132, 138, 186, 253, 276, 341, 372, 506, 682, 713, 759, 1012, 1023, 1364, 1426, 1518, 2046, 2139, 2852, 3036, 4092, 4278, 7843, 8556, 15686, 23529, 31372, 47058

Step-4: Factors of 94128

List of positive integer factors of 94128 that divides 94116 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94116 and 94128. The biggest common factor number is the GCF number.
So the greatest common factor 94116 and 94128 is 12.

Also check out the Least Common Multiple of 94116 and 94128