What is the Greatest Common Factor of 99073 and 99086?

Greatest common factor (GCF) of 99073 and 99086 is 13.

GCF(99073,99086) = 13

We will now calculate the prime factors of 99073 and 99086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99073 and 99086.

How to find the GCF of 99073 and 99086?

We will first find the prime factorization of 99073 and 99086. After we will calculate the factors of 99073 and 99086 and find the biggest common factor number .

Step-1: Prime Factorization of 99073

Prime factors of 99073 are 13, 7621. Prime factorization of 99073 in exponential form is:

99073 = 13¹ × 7621¹

Step-2: Prime Factorization of 99086

Prime factors of 99086 are 2, 13, 37, 103. Prime factorization of 99086 in exponential form is:

99086 = 2¹ × 13¹ × 37¹ × 103¹

Step-3: Factors of 99073

List of positive integer factors of 99073 that divides 99073 without a remainder.

1, 13, 7621

Step-4: Factors of 99086

List of positive integer factors of 99086 that divides 99073 without a remainder.

1, 2, 13, 26, 37, 74, 103, 206, 481, 962, 1339, 2678, 3811, 7622, 49543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99073 and 99086. The biggest common factor number is the GCF number.
So the greatest common factor 99073 and 99086 is 13.

Also check out the Least Common Multiple of 99073 and 99086