What is the Greatest Common Factor of 94074 and 94090?

Greatest common factor (GCF) of 94074 and 94090 is 2.

GCF(94074,94090) = 2

We will now calculate the prime factors of 94074 and 94090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94074 and 94090.

How to find the GCF of 94074 and 94090?

We will first find the prime factorization of 94074 and 94090. After we will calculate the factors of 94074 and 94090 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 94090

Prime factors of 94090 are 2, 5, 97. Prime factorization of 94090 in exponential form is:

94090 = 2¹ × 5¹ × 97²

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 94090

List of positive integer factors of 94090 that divides 94074 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970, 9409, 18818, 47045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94074 and 94090. The biggest common factor number is the GCF number.
So the greatest common factor 94074 and 94090 is 2.

Also check out the Least Common Multiple of 94074 and 94090