What is the Greatest Common Factor of 93989 and 94003?

Greatest common factor (GCF) of 93989 and 94003 is 7.

GCF(93989,94003) = 7

We will now calculate the prime factors of 93989 and 94003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93989 and 94003.

How to find the GCF of 93989 and 94003?

We will first find the prime factorization of 93989 and 94003. After we will calculate the factors of 93989 and 94003 and find the biggest common factor number .

Step-1: Prime Factorization of 93989

Prime factors of 93989 are 7, 29, 463. Prime factorization of 93989 in exponential form is:

93989 = 7¹ × 29¹ × 463¹

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 93989

List of positive integer factors of 93989 that divides 93989 without a remainder.

1, 7, 29, 203, 463, 3241, 13427

Step-4: Factors of 94003

List of positive integer factors of 94003 that divides 93989 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93989 and 94003. The biggest common factor number is the GCF number.
So the greatest common factor 93989 and 94003 is 7.

Also check out the Least Common Multiple of 93989 and 94003