What is the Greatest Common Factor of 99538 and 99552?

Greatest common factor (GCF) of 99538 and 99552 is 2.

GCF(99538,99552) = 2

We will now calculate the prime factors of 99538 and 99552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99538 and 99552.

How to find the GCF of 99538 and 99552?

We will first find the prime factorization of 99538 and 99552. After we will calculate the factors of 99538 and 99552 and find the biggest common factor number .

Step-1: Prime Factorization of 99538

Prime factors of 99538 are 2, 157, 317. Prime factorization of 99538 in exponential form is:

99538 = 2¹ × 157¹ × 317¹

Step-2: 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-3: Factors of 99538

List of positive integer factors of 99538 that divides 99538 without a remainder.

1, 2, 157, 314, 317, 634, 49769

Step-4: Factors of 99552

List of positive integer factors of 99552 that divides 99538 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99538 and 99552. The biggest common factor number is the GCF number.
So the greatest common factor 99538 and 99552 is 2.

Also check out the Least Common Multiple of 99538 and 99552