What is the Greatest Common Factor of 99534 and 99552?

Greatest common factor (GCF) of 99534 and 99552 is 6.

GCF(99534,99552) = 6

We will now calculate the prime factors of 99534 and 99552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99534 and 99552.

How to find the GCF of 99534 and 99552?

We will first find the prime factorization of 99534 and 99552. After we will calculate the factors of 99534 and 99552 and find the biggest common factor number .

Step-1: Prime Factorization of 99534

Prime factors of 99534 are 2, 3, 53, 313. Prime factorization of 99534 in exponential form is:

99534 = 2¹ × 3¹ × 53¹ × 313¹

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 99534

List of positive integer factors of 99534 that divides 99534 without a remainder.

1, 2, 3, 6, 53, 106, 159, 313, 318, 626, 939, 1878, 16589, 33178, 49767

Step-4: Factors of 99552

List of positive integer factors of 99552 that divides 99534 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 99534 and 99552. The biggest common factor number is the GCF number.
So the greatest common factor 99534 and 99552 is 6.

Also check out the Least Common Multiple of 99534 and 99552