What is the Greatest Common Factor of 93993 and 94008?

Greatest common factor (GCF) of 93993 and 94008 is 3.

GCF(93993,94008) = 3

We will now calculate the prime factors of 93993 and 94008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93993 and 94008.

How to find the GCF of 93993 and 94008?

We will first find the prime factorization of 93993 and 94008. After we will calculate the factors of 93993 and 94008 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 94008

Prime factors of 94008 are 2, 3, 3917. Prime factorization of 94008 in exponential form is:

94008 = 2³ × 3¹ × 3917¹

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 94008

List of positive integer factors of 94008 that divides 93993 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3917, 7834, 11751, 15668, 23502, 31336, 47004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93993 and 94008. The biggest common factor number is the GCF number.
So the greatest common factor 93993 and 94008 is 3.

Also check out the Least Common Multiple of 93993 and 94008