What is the Greatest Common Factor of 94974 and 94983?

Greatest common factor (GCF) of 94974 and 94983 is 3.

GCF(94974,94983) = 3

We will now calculate the prime factors of 94974 and 94983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94974 and 94983.

How to find the GCF of 94974 and 94983?

We will first find the prime factorization of 94974 and 94983. After we will calculate the factors of 94974 and 94983 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94983

Prime factors of 94983 are 3, 7, 4523. Prime factorization of 94983 in exponential form is:

94983 = 3¹ × 7¹ × 4523¹

Step-3: Factors of 94974

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

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

Step-4: Factors of 94983

List of positive integer factors of 94983 that divides 94974 without a remainder.

1, 3, 7, 21, 4523, 13569, 31661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94974 and 94983. The biggest common factor number is the GCF number.
So the greatest common factor 94974 and 94983 is 3.

Also check out the Least Common Multiple of 94974 and 94983