What is the Greatest Common Factor of 99738 and 99756?

Greatest common factor (GCF) of 99738 and 99756 is 18.

GCF(99738,99756) = 18

We will now calculate the prime factors of 99738 and 99756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99738 and 99756.

How to find the GCF of 99738 and 99756?

We will first find the prime factorization of 99738 and 99756. After we will calculate the factors of 99738 and 99756 and find the biggest common factor number .

Step-1: Prime Factorization of 99738

Prime factors of 99738 are 2, 3, 1847. Prime factorization of 99738 in exponential form is:

99738 = 2¹ × 3³ × 1847¹

Step-2: 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-3: Factors of 99738

List of positive integer factors of 99738 that divides 99738 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1847, 3694, 5541, 11082, 16623, 33246, 49869

Step-4: Factors of 99756

List of positive integer factors of 99756 that divides 99738 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99738 and 99756. The biggest common factor number is the GCF number.
So the greatest common factor 99738 and 99756 is 18.

Also check out the Least Common Multiple of 99738 and 99756