What is the Greatest Common Factor of 93993 and 94012?

Greatest common factor (GCF) of 93993 and 94012 is 19.

GCF(93993,94012) = 19

We will now calculate the prime factors of 93993 and 94012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93993 and 94012.

How to find the GCF of 93993 and 94012?

We will first find the prime factorization of 93993 and 94012. After we will calculate the factors of 93993 and 94012 and find the biggest common factor number .

Step-1: Prime Factorization of 93993

Prime factors of 93993 are 3, 17, 19, 97. Prime factorization of 93993 in exponential form is:

93993 = 3¹ × 17¹ × 19¹ × 97¹

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 93993

List of positive integer factors of 93993 that divides 93993 without a remainder.

1, 3, 17, 19, 51, 57, 97, 291, 323, 969, 1649, 1843, 4947, 5529, 31331

Step-4: Factors of 94012

List of positive integer factors of 94012 that divides 93993 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 93993 and 94012. The biggest common factor number is the GCF number.
So the greatest common factor 93993 and 94012 is 19.

Also check out the Least Common Multiple of 93993 and 94012