What is the Greatest Common Factor of 94112 and 94122?

Greatest common factor (GCF) of 94112 and 94122 is 2.

GCF(94112,94122) = 2

We will now calculate the prime factors of 94112 and 94122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94112 and 94122.

How to find the GCF of 94112 and 94122?

We will first find the prime factorization of 94112 and 94122. After we will calculate the factors of 94112 and 94122 and find the biggest common factor number .

Step-1: Prime Factorization of 94112

Prime factors of 94112 are 2, 17, 173. Prime factorization of 94112 in exponential form is:

94112 = 2⁵ × 17¹ × 173¹

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 94112

List of positive integer factors of 94112 that divides 94112 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 173, 272, 346, 544, 692, 1384, 2768, 2941, 5536, 5882, 11764, 23528, 47056

Step-4: Factors of 94122

List of positive integer factors of 94122 that divides 94112 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 94112 and 94122. The biggest common factor number is the GCF number.
So the greatest common factor 94112 and 94122 is 2.

Also check out the Least Common Multiple of 94112 and 94122