What is the Greatest Common Factor of 94059 and 94074?

Greatest common factor (GCF) of 94059 and 94074 is 3.

GCF(94059,94074) = 3

We will now calculate the prime factors of 94059 and 94074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94059 and 94074.

How to find the GCF of 94059 and 94074?

We will first find the prime factorization of 94059 and 94074. After we will calculate the factors of 94059 and 94074 and find the biggest common factor number .

Step-1: Prime Factorization of 94059

Prime factors of 94059 are 3, 7, 1493. Prime factorization of 94059 in exponential form is:

94059 = 3² × 7¹ × 1493¹

Step-2: 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-3: Factors of 94059

List of positive integer factors of 94059 that divides 94059 without a remainder.

1, 3, 7, 9, 21, 63, 1493, 4479, 10451, 13437, 31353

Step-4: Factors of 94074

List of positive integer factors of 94074 that divides 94059 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94059 and 94074. The biggest common factor number is the GCF number.
So the greatest common factor 94059 and 94074 is 3.

Also check out the Least Common Multiple of 94059 and 94074