What is the Greatest Common Factor of 99552 and 99561?

Greatest common factor (GCF) of 99552 and 99561 is 3.

GCF(99552,99561) = 3

We will now calculate the prime factors of 99552 and 99561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99552 and 99561.

How to find the GCF of 99552 and 99561?

We will first find the prime factorization of 99552 and 99561. After we will calculate the factors of 99552 and 99561 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 99561

Prime factors of 99561 are 3, 7, 11, 431. Prime factorization of 99561 in exponential form is:

99561 = 3¹ × 7¹ × 11¹ × 431¹

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 99561

List of positive integer factors of 99561 that divides 99552 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 431, 1293, 3017, 4741, 9051, 14223, 33187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99552 and 99561. The biggest common factor number is the GCF number.
So the greatest common factor 99552 and 99561 is 3.

Also check out the Least Common Multiple of 99552 and 99561