What is the Greatest Common Factor of 89999 and 90012?

Greatest common factor (GCF) of 89999 and 90012 is 13.

GCF(89999,90012) = 13

We will now calculate the prime factors of 89999 and 90012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89999 and 90012.

How to find the GCF of 89999 and 90012?

We will first find the prime factorization of 89999 and 90012. After we will calculate the factors of 89999 and 90012 and find the biggest common factor number .

Step-1: Prime Factorization of 89999

Prime factors of 89999 are 7, 13, 23, 43. Prime factorization of 89999 in exponential form is:

89999 = 7¹ × 13¹ × 23¹ × 43¹

Step-2: Prime Factorization of 90012

Prime factors of 90012 are 2, 3, 13, 577. Prime factorization of 90012 in exponential form is:

90012 = 2² × 3¹ × 13¹ × 577¹

Step-3: Factors of 89999

List of positive integer factors of 89999 that divides 89999 without a remainder.

1, 7, 13, 23, 43, 91, 161, 299, 301, 559, 989, 2093, 3913, 6923, 12857

Step-4: Factors of 90012

List of positive integer factors of 90012 that divides 89999 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 577, 1154, 1731, 2308, 3462, 6924, 7501, 15002, 22503, 30004, 45006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89999 and 90012. The biggest common factor number is the GCF number.
So the greatest common factor 89999 and 90012 is 13.

Also check out the Least Common Multiple of 89999 and 90012