What is the Greatest Common Factor of 99756 and 99774?

Greatest common factor (GCF) of 99756 and 99774 is 18.

GCF(99756,99774) = 18

We will now calculate the prime factors of 99756 and 99774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99756 and 99774.

How to find the GCF of 99756 and 99774?

We will first find the prime factorization of 99756 and 99774. After we will calculate the factors of 99756 and 99774 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 99774

Prime factors of 99774 are 2, 3, 23, 241. Prime factorization of 99774 in exponential form is:

99774 = 2¹ × 3² × 23¹ × 241¹

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 99774

List of positive integer factors of 99774 that divides 99756 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 241, 414, 482, 723, 1446, 2169, 4338, 5543, 11086, 16629, 33258, 49887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99756 and 99774. The biggest common factor number is the GCF number.
So the greatest common factor 99756 and 99774 is 18.

Also check out the Least Common Multiple of 99756 and 99774