What is the Greatest Common Factor of 94956 and 94974?

Greatest common factor (GCF) of 94956 and 94974 is 6.

GCF(94956,94974) = 6

We will now calculate the prime factors of 94956 and 94974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94956 and 94974.

How to find the GCF of 94956 and 94974?

We will first find the prime factorization of 94956 and 94974. After we will calculate the factors of 94956 and 94974 and find the biggest common factor number .

Step-1: Prime Factorization of 94956

Prime factors of 94956 are 2, 3, 41, 193. Prime factorization of 94956 in exponential form is:

94956 = 2² × 3¹ × 41¹ × 193¹

Step-2: Prime Factorization of 94974

Prime factors of 94974 are 2, 3, 11, 1439. Prime factorization of 94974 in exponential form is:

94974 = 2¹ × 3¹ × 11¹ × 1439¹

Step-3: Factors of 94956

List of positive integer factors of 94956 that divides 94956 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 193, 246, 386, 492, 579, 772, 1158, 2316, 7913, 15826, 23739, 31652, 47478

Step-4: Factors of 94974

List of positive integer factors of 94974 that divides 94956 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1439, 2878, 4317, 8634, 15829, 31658, 47487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94956 and 94974. The biggest common factor number is the GCF number.
So the greatest common factor 94956 and 94974 is 6.

Also check out the Least Common Multiple of 94956 and 94974