What is the Greatest Common Factor of 99756 and 99773?

Greatest common factor (GCF) of 99756 and 99773 is 17.

GCF(99756,99773) = 17

We will now calculate the prime factors of 99756 and 99773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99756 and 99773.

How to find the GCF of 99756 and 99773?

We will first find the prime factorization of 99756 and 99773. After we will calculate the factors of 99756 and 99773 and find the biggest common factor number .

Step-1: Prime Factorization of 99756

Prime factors of 99756 are 2, 3, 17, 163. Prime factorization of 99756 in exponential form is:

99756 = 2² × 3² × 17¹ × 163¹

Step-2: Prime Factorization of 99773

Prime factors of 99773 are 17, 5869. Prime factorization of 99773 in exponential form is:

99773 = 17¹ × 5869¹

Step-3: Factors of 99756

List of positive integer factors of 99756 that divides 99756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 163, 204, 306, 326, 489, 612, 652, 978, 1467, 1956, 2771, 2934, 5542, 5868, 8313, 11084, 16626, 24939, 33252, 49878

Step-4: Factors of 99773

List of positive integer factors of 99773 that divides 99756 without a remainder.

1, 17, 5869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99756 and 99773. The biggest common factor number is the GCF number.
So the greatest common factor 99756 and 99773 is 17.

Also check out the Least Common Multiple of 99756 and 99773