What is the Greatest Common Factor of 94983 and 94998?

Greatest common factor (GCF) of 94983 and 94998 is 3.

GCF(94983,94998) = 3

We will now calculate the prime factors of 94983 and 94998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94983 and 94998.

How to find the GCF of 94983 and 94998?

We will first find the prime factorization of 94983 and 94998. After we will calculate the factors of 94983 and 94998 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94998

Prime factors of 94998 are 2, 3, 71, 223. Prime factorization of 94998 in exponential form is:

94998 = 2¹ × 3¹ × 71¹ × 223¹

Step-3: Factors of 94983

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

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

Step-4: Factors of 94998

List of positive integer factors of 94998 that divides 94983 without a remainder.

1, 2, 3, 6, 71, 142, 213, 223, 426, 446, 669, 1338, 15833, 31666, 47499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94983 and 94998. The biggest common factor number is the GCF number.
So the greatest common factor 94983 and 94998 is 3.

Also check out the Least Common Multiple of 94983 and 94998