What is the Greatest Common Factor of 94100 and 94116?

Greatest common factor (GCF) of 94100 and 94116 is 4.

GCF(94100,94116) = 4

We will now calculate the prime factors of 94100 and 94116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94100 and 94116.

How to find the GCF of 94100 and 94116?

We will first find the prime factorization of 94100 and 94116. After we will calculate the factors of 94100 and 94116 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 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-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 94116

List of positive integer factors of 94116 that divides 94100 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94100 and 94116. The biggest common factor number is the GCF number.
So the greatest common factor 94100 and 94116 is 4.

Also check out the Least Common Multiple of 94100 and 94116