What is the Greatest Common Factor of 94084 and 94100?

Greatest common factor (GCF) of 94084 and 94100 is 4.

GCF(94084,94100) = 4

We will now calculate the prime factors of 94084 and 94100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94084 and 94100.

How to find the GCF of 94084 and 94100?

We will first find the prime factorization of 94084 and 94100. After we will calculate the factors of 94084 and 94100 and find the biggest common factor number .

Step-1: Prime Factorization of 94084

Prime factors of 94084 are 2, 43, 547. Prime factorization of 94084 in exponential form is:

94084 = 2² × 43¹ × 547¹

Step-2: 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-3: Factors of 94084

List of positive integer factors of 94084 that divides 94084 without a remainder.

1, 2, 4, 43, 86, 172, 547, 1094, 2188, 23521, 47042

Step-4: Factors of 94100

List of positive integer factors of 94100 that divides 94084 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94084 and 94100. The biggest common factor number is the GCF number.
So the greatest common factor 94084 and 94100 is 4.

Also check out the Least Common Multiple of 94084 and 94100