What is the Greatest Common Factor of 99552 and 99567?

Greatest common factor (GCF) of 99552 and 99567 is 3.

GCF(99552,99567) = 3

We will now calculate the prime factors of 99552 and 99567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99552 and 99567.

How to find the GCF of 99552 and 99567?

We will first find the prime factorization of 99552 and 99567. After we will calculate the factors of 99552 and 99567 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 99567

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

99567 = 3² × 13¹ × 23¹ × 37¹

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 99567

List of positive integer factors of 99567 that divides 99552 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99552 and 99567. The biggest common factor number is the GCF number.
So the greatest common factor 99552 and 99567 is 3.

Also check out the Least Common Multiple of 99552 and 99567