What is the Greatest Common Factor of 99756 and 99767?

Greatest common factor (GCF) of 99756 and 99767 is 1.

GCF(99756,99767) = 1

We will now calculate the prime factors of 99756 and 99767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99756 and 99767.

How to find the GCF of 99756 and 99767?

We will first find the prime factorization of 99756 and 99767. After we will calculate the factors of 99756 and 99767 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 99767

Prime factors of 99767 are 99767. Prime factorization of 99767 in exponential form is:

99767 = 99767¹

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 99767

List of positive integer factors of 99767 that divides 99756 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99756 and 99767. The biggest common factor number is the GCF number.
So the greatest common factor 99756 and 99767 is 1.

Also check out the Least Common Multiple of 99756 and 99767