What is the Greatest Common Factor of 89994 and 90013?

Greatest common factor (GCF) of 89994 and 90013 is 1.

GCF(89994,90013) = 1

We will now calculate the prime factors of 89994 and 90013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89994 and 90013.

How to find the GCF of 89994 and 90013?

We will first find the prime factorization of 89994 and 90013. After we will calculate the factors of 89994 and 90013 and find the biggest common factor number .

Step-1: Prime Factorization of 89994

Prime factors of 89994 are 2, 3, 53, 283. Prime factorization of 89994 in exponential form is:

89994 = 2¹ × 3¹ × 53¹ × 283¹

Step-2: Prime Factorization of 90013

Prime factors of 90013 are 7, 11, 167. Prime factorization of 90013 in exponential form is:

90013 = 7² × 11¹ × 167¹

Step-3: Factors of 89994

List of positive integer factors of 89994 that divides 89994 without a remainder.

1, 2, 3, 6, 53, 106, 159, 283, 318, 566, 849, 1698, 14999, 29998, 44997

Step-4: Factors of 90013

List of positive integer factors of 90013 that divides 89994 without a remainder.

1, 7, 11, 49, 77, 167, 539, 1169, 1837, 8183, 12859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89994 and 90013. The biggest common factor number is the GCF number.
So the greatest common factor 89994 and 90013 is 1.

Also check out the Least Common Multiple of 89994 and 90013