What is the Greatest Common Factor of 93998 and 94012?

Greatest common factor (GCF) of 93998 and 94012 is 2.

GCF(93998,94012) = 2

We will now calculate the prime factors of 93998 and 94012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93998 and 94012.

How to find the GCF of 93998 and 94012?

We will first find the prime factorization of 93998 and 94012. After we will calculate the factors of 93998 and 94012 and find the biggest common factor number .

Step-1: Prime Factorization of 93998

Prime factors of 93998 are 2, 43, 1093. Prime factorization of 93998 in exponential form is:

93998 = 2¹ × 43¹ × 1093¹

Step-2: Prime Factorization of 94012

Prime factors of 94012 are 2, 19, 1237. Prime factorization of 94012 in exponential form is:

94012 = 2² × 19¹ × 1237¹

Step-3: Factors of 93998

List of positive integer factors of 93998 that divides 93998 without a remainder.

1, 2, 43, 86, 1093, 2186, 46999

Step-4: Factors of 94012

List of positive integer factors of 94012 that divides 93998 without a remainder.

1, 2, 4, 19, 38, 76, 1237, 2474, 4948, 23503, 47006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93998 and 94012. The biggest common factor number is the GCF number.
So the greatest common factor 93998 and 94012 is 2.

Also check out the Least Common Multiple of 93998 and 94012