What is the Greatest Common Factor of 94674 and 94682?

Greatest common factor (GCF) of 94674 and 94682 is 2.

GCF(94674,94682) = 2

We will now calculate the prime factors of 94674 and 94682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94674 and 94682.

How to find the GCF of 94674 and 94682?

We will first find the prime factorization of 94674 and 94682. After we will calculate the factors of 94674 and 94682 and find the biggest common factor number .

Step-1: Prime Factorization of 94674

Prime factors of 94674 are 2, 3, 31, 509. Prime factorization of 94674 in exponential form is:

94674 = 2¹ × 3¹ × 31¹ × 509¹

Step-2: Prime Factorization of 94682

Prime factors of 94682 are 2, 7, 6763. Prime factorization of 94682 in exponential form is:

94682 = 2¹ × 7¹ × 6763¹

Step-3: Factors of 94674

List of positive integer factors of 94674 that divides 94674 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 509, 1018, 1527, 3054, 15779, 31558, 47337

Step-4: Factors of 94682

List of positive integer factors of 94682 that divides 94674 without a remainder.

1, 2, 7, 14, 6763, 13526, 47341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94674 and 94682. The biggest common factor number is the GCF number.
So the greatest common factor 94674 and 94682 is 2.

Also check out the Least Common Multiple of 94674 and 94682