What is the Greatest Common Factor of 93990 and 94008?

Greatest common factor (GCF) of 93990 and 94008 is 6.

GCF(93990,94008) = 6

We will now calculate the prime factors of 93990 and 94008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93990 and 94008.

How to find the GCF of 93990 and 94008?

We will first find the prime factorization of 93990 and 94008. After we will calculate the factors of 93990 and 94008 and find the biggest common factor number .

Step-1: Prime Factorization of 93990

Prime factors of 93990 are 2, 3, 5, 13, 241. Prime factorization of 93990 in exponential form is:

93990 = 2¹ × 3¹ × 5¹ × 13¹ × 241¹

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 93990

List of positive integer factors of 93990 that divides 93990 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 241, 390, 482, 723, 1205, 1446, 2410, 3133, 3615, 6266, 7230, 9399, 15665, 18798, 31330, 46995

Step-4: Factors of 94008

List of positive integer factors of 94008 that divides 93990 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 93990 and 94008. The biggest common factor number is the GCF number.
So the greatest common factor 93990 and 94008 is 6.

Also check out the Least Common Multiple of 93990 and 94008