What is the Greatest Common Factor of 99777 and 99783?

Greatest common factor (GCF) of 99777 and 99783 is 3.

GCF(99777,99783) = 3

We will now calculate the prime factors of 99777 and 99783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99777 and 99783.

How to find the GCF of 99777 and 99783?

We will first find the prime factorization of 99777 and 99783. After we will calculate the factors of 99777 and 99783 and find the biggest common factor number .

Step-1: Prime Factorization of 99777

Prime factors of 99777 are 3, 79, 421. Prime factorization of 99777 in exponential form is:

99777 = 3¹ × 79¹ × 421¹

Step-2: Prime Factorization of 99783

Prime factors of 99783 are 3, 11087. Prime factorization of 99783 in exponential form is:

99783 = 3² × 11087¹

Step-3: Factors of 99777

List of positive integer factors of 99777 that divides 99777 without a remainder.

1, 3, 79, 237, 421, 1263, 33259

Step-4: Factors of 99783

List of positive integer factors of 99783 that divides 99777 without a remainder.

1, 3, 9, 11087, 33261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99777 and 99783. The biggest common factor number is the GCF number.
So the greatest common factor 99777 and 99783 is 3.

Also check out the Least Common Multiple of 99777 and 99783