What is the Greatest Common Factor of 73086 and 73099?

Greatest common factor (GCF) of 73086 and 73099 is 13.

GCF(73086,73099) = 13

We will now calculate the prime factors of 73086 and 73099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73086 and 73099.

How to find the GCF of 73086 and 73099?

We will first find the prime factorization of 73086 and 73099. After we will calculate the factors of 73086 and 73099 and find the biggest common factor number .

Step-1: Prime Factorization of 73086

Prime factors of 73086 are 2, 3, 13, 937. Prime factorization of 73086 in exponential form is:

73086 = 2¹ × 3¹ × 13¹ × 937¹

Step-2: Prime Factorization of 73099

Prime factors of 73099 are 13, 5623. Prime factorization of 73099 in exponential form is:

73099 = 13¹ × 5623¹

Step-3: Factors of 73086

List of positive integer factors of 73086 that divides 73086 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 937, 1874, 2811, 5622, 12181, 24362, 36543

Step-4: Factors of 73099

List of positive integer factors of 73099 that divides 73086 without a remainder.

1, 13, 5623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73086 and 73099. The biggest common factor number is the GCF number.
So the greatest common factor 73086 and 73099 is 13.

Also check out the Least Common Multiple of 73086 and 73099