What is the Greatest Common Factor of 89986 and 89999?

Greatest common factor (GCF) of 89986 and 89999 is 13.

GCF(89986,89999) = 13

We will now calculate the prime factors of 89986 and 89999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89986 and 89999.

How to find the GCF of 89986 and 89999?

We will first find the prime factorization of 89986 and 89999. After we will calculate the factors of 89986 and 89999 and find the biggest common factor number .

Step-1: Prime Factorization of 89986

Prime factors of 89986 are 2, 13, 3461. Prime factorization of 89986 in exponential form is:

89986 = 2¹ × 13¹ × 3461¹

Step-2: 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-3: Factors of 89986

List of positive integer factors of 89986 that divides 89986 without a remainder.

1, 2, 13, 26, 3461, 6922, 44993

Step-4: Factors of 89999

List of positive integer factors of 89999 that divides 89986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89986 and 89999. The biggest common factor number is the GCF number.
So the greatest common factor 89986 and 89999 is 13.

Also check out the Least Common Multiple of 89986 and 89999