What is the Greatest Common Factor of 99580 and 99593?

Greatest common factor (GCF) of 99580 and 99593 is 13.

GCF(99580,99593) = 13

We will now calculate the prime factors of 99580 and 99593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99580 and 99593.

How to find the GCF of 99580 and 99593?

We will first find the prime factorization of 99580 and 99593. After we will calculate the factors of 99580 and 99593 and find the biggest common factor number .

Step-1: Prime Factorization of 99580

Prime factors of 99580 are 2, 5, 13, 383. Prime factorization of 99580 in exponential form is:

99580 = 2² × 5¹ × 13¹ × 383¹

Step-2: Prime Factorization of 99593

Prime factors of 99593 are 13, 47, 163. Prime factorization of 99593 in exponential form is:

99593 = 13¹ × 47¹ × 163¹

Step-3: Factors of 99580

List of positive integer factors of 99580 that divides 99580 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 383, 766, 1532, 1915, 3830, 4979, 7660, 9958, 19916, 24895, 49790

Step-4: Factors of 99593

List of positive integer factors of 99593 that divides 99580 without a remainder.

1, 13, 47, 163, 611, 2119, 7661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99580 and 99593. The biggest common factor number is the GCF number.
So the greatest common factor 99580 and 99593 is 13.

Also check out the Least Common Multiple of 99580 and 99593