What is the Greatest Common Factor of 99567 and 99580?

Greatest common factor (GCF) of 99567 and 99580 is 13.

GCF(99567,99580) = 13

We will now calculate the prime factors of 99567 and 99580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99567 and 99580.

How to find the GCF of 99567 and 99580?

We will first find the prime factorization of 99567 and 99580. After we will calculate the factors of 99567 and 99580 and find the biggest common factor number .

Step-1: Prime Factorization of 99567

Prime factors of 99567 are 3, 13, 23, 37. Prime factorization of 99567 in exponential form is:

99567 = 3² × 13¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 99567

List of positive integer factors of 99567 that divides 99567 without a remainder.

1, 3, 9, 13, 23, 37, 39, 69, 111, 117, 207, 299, 333, 481, 851, 897, 1443, 2553, 2691, 4329, 7659, 11063, 33189

Step-4: Factors of 99580

List of positive integer factors of 99580 that divides 99567 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99567 and 99580. The biggest common factor number is the GCF number.
So the greatest common factor 99567 and 99580 is 13.

Also check out the Least Common Multiple of 99567 and 99580