What is the Greatest Common Factor of 99346 and 99359?

Greatest common factor (GCF) of 99346 and 99359 is 13.

GCF(99346,99359) = 13

We will now calculate the prime factors of 99346 and 99359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99346 and 99359.

How to find the GCF of 99346 and 99359?

We will first find the prime factorization of 99346 and 99359. After we will calculate the factors of 99346 and 99359 and find the biggest common factor number .

Step-1: Prime Factorization of 99346

Prime factors of 99346 are 2, 13, 3821. Prime factorization of 99346 in exponential form is:

99346 = 2¹ × 13¹ × 3821¹

Step-2: Prime Factorization of 99359

Prime factors of 99359 are 13, 7643. Prime factorization of 99359 in exponential form is:

99359 = 13¹ × 7643¹

Step-3: Factors of 99346

List of positive integer factors of 99346 that divides 99346 without a remainder.

1, 2, 13, 26, 3821, 7642, 49673

Step-4: Factors of 99359

List of positive integer factors of 99359 that divides 99346 without a remainder.

1, 13, 7643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99346 and 99359. The biggest common factor number is the GCF number.
So the greatest common factor 99346 and 99359 is 13.

Also check out the Least Common Multiple of 99346 and 99359