What is the Greatest Common Factor of 99552 and 99569?

Greatest common factor (GCF) of 99552 and 99569 is 17.

GCF(99552,99569) = 17

We will now calculate the prime factors of 99552 and 99569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99552 and 99569.

How to find the GCF of 99552 and 99569?

We will first find the prime factorization of 99552 and 99569. After we will calculate the factors of 99552 and 99569 and find the biggest common factor number .

Step-1: Prime Factorization of 99552

Prime factors of 99552 are 2, 3, 17, 61. Prime factorization of 99552 in exponential form is:

99552 = 2⁵ × 3¹ × 17¹ × 61¹

Step-2: Prime Factorization of 99569

Prime factors of 99569 are 17, 5857. Prime factorization of 99569 in exponential form is:

99569 = 17¹ × 5857¹

Step-3: Factors of 99552

List of positive integer factors of 99552 that divides 99552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 61, 68, 96, 102, 122, 136, 183, 204, 244, 272, 366, 408, 488, 544, 732, 816, 976, 1037, 1464, 1632, 1952, 2074, 2928, 3111, 4148, 5856, 6222, 8296, 12444, 16592, 24888, 33184, 49776

Step-4: Factors of 99569

List of positive integer factors of 99569 that divides 99552 without a remainder.

1, 17, 5857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99552 and 99569. The biggest common factor number is the GCF number.
So the greatest common factor 99552 and 99569 is 17.

Also check out the Least Common Multiple of 99552 and 99569