What is the Greatest Common Factor of 94100 and 94112?

Greatest common factor (GCF) of 94100 and 94112 is 4.

GCF(94100,94112) = 4

We will now calculate the prime factors of 94100 and 94112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94100 and 94112.

How to find the GCF of 94100 and 94112?

We will first find the prime factorization of 94100 and 94112. After we will calculate the factors of 94100 and 94112 and find the biggest common factor number .

Step-1: Prime Factorization of 94100

Prime factors of 94100 are 2, 5, 941. Prime factorization of 94100 in exponential form is:

94100 = 2² × 5² × 941¹

Step-2: 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-3: Factors of 94100

List of positive integer factors of 94100 that divides 94100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 941, 1882, 3764, 4705, 9410, 18820, 23525, 47050

Step-4: Factors of 94112

List of positive integer factors of 94112 that divides 94100 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94100 and 94112. The biggest common factor number is the GCF number.
So the greatest common factor 94100 and 94112 is 4.

Also check out the Least Common Multiple of 94100 and 94112