What is the Greatest Common Factor of 94100 and 94109?

Greatest common factor (GCF) of 94100 and 94109 is 1.

GCF(94100,94109) = 1

We will now calculate the prime factors of 94100 and 94109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94100 and 94109.

How to find the GCF of 94100 and 94109?

We will first find the prime factorization of 94100 and 94109. After we will calculate the factors of 94100 and 94109 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 94109

Prime factors of 94109 are 94109. Prime factorization of 94109 in exponential form is:

94109 = 94109¹

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 94109

List of positive integer factors of 94109 that divides 94100 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94100 and 94109. The biggest common factor number is the GCF number.
So the greatest common factor 94100 and 94109 is 1.

Also check out the Least Common Multiple of 94100 and 94109