What is the Greatest Common Factor of 94074 and 94089?

Greatest common factor (GCF) of 94074 and 94089 is 3.

GCF(94074,94089) = 3

We will now calculate the prime factors of 94074 and 94089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94074 and 94089.

How to find the GCF of 94074 and 94089?

We will first find the prime factorization of 94074 and 94089. After we will calculate the factors of 94074 and 94089 and find the biggest common factor number .

Step-1: Prime Factorization of 94074

Prime factors of 94074 are 2, 3, 15679. Prime factorization of 94074 in exponential form is:

94074 = 2¹ × 3¹ × 15679¹

Step-2: Prime Factorization of 94089

Prime factors of 94089 are 3, 79, 397. Prime factorization of 94089 in exponential form is:

94089 = 3¹ × 79¹ × 397¹

Step-3: Factors of 94074

List of positive integer factors of 94074 that divides 94074 without a remainder.

1, 2, 3, 6, 15679, 31358, 47037

Step-4: Factors of 94089

List of positive integer factors of 94089 that divides 94074 without a remainder.

1, 3, 79, 237, 397, 1191, 31363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94074 and 94089. The biggest common factor number is the GCF number.
So the greatest common factor 94074 and 94089 is 3.

Also check out the Least Common Multiple of 94074 and 94089