What is the Greatest Common Factor of 93990 and 94003?

Greatest common factor (GCF) of 93990 and 94003 is 13.

GCF(93990,94003) = 13

We will now calculate the prime factors of 93990 and 94003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93990 and 94003.

How to find the GCF of 93990 and 94003?

We will first find the prime factorization of 93990 and 94003. After we will calculate the factors of 93990 and 94003 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 94003

Prime factors of 94003 are 7, 13, 1033. Prime factorization of 94003 in exponential form is:

94003 = 7¹ × 13¹ × 1033¹

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 94003

List of positive integer factors of 94003 that divides 93990 without a remainder.

1, 7, 13, 91, 1033, 7231, 13429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93990 and 94003. The biggest common factor number is the GCF number.
So the greatest common factor 93990 and 94003 is 13.

Also check out the Least Common Multiple of 93990 and 94003