What is the Greatest Common Factor of 94104 and 94122?

Greatest common factor (GCF) of 94104 and 94122 is 18.

GCF(94104,94122) = 18

We will now calculate the prime factors of 94104 and 94122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94104 and 94122.

How to find the GCF of 94104 and 94122?

We will first find the prime factorization of 94104 and 94122. After we will calculate the factors of 94104 and 94122 and find the biggest common factor number .

Step-1: Prime Factorization of 94104

Prime factors of 94104 are 2, 3, 1307. Prime factorization of 94104 in exponential form is:

94104 = 2³ × 3² × 1307¹

Step-2: Prime Factorization of 94122

Prime factors of 94122 are 2, 3, 7, 83. Prime factorization of 94122 in exponential form is:

94122 = 2¹ × 3⁴ × 7¹ × 83¹

Step-3: Factors of 94104

List of positive integer factors of 94104 that divides 94104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1307, 2614, 3921, 5228, 7842, 10456, 11763, 15684, 23526, 31368, 47052

Step-4: Factors of 94122

List of positive integer factors of 94122 that divides 94104 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 83, 126, 162, 166, 189, 249, 378, 498, 567, 581, 747, 1134, 1162, 1494, 1743, 2241, 3486, 4482, 5229, 6723, 10458, 13446, 15687, 31374, 47061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94104 and 94122. The biggest common factor number is the GCF number.
So the greatest common factor 94104 and 94122 is 18.

Also check out the Least Common Multiple of 94104 and 94122