What is the Greatest Common Factor of 7884 and 7899?

Greatest common factor (GCF) of 7884 and 7899 is 3.

GCF(7884,7899) = 3

We will now calculate the prime factors of 7884 and 7899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7884 and 7899.

How to find the GCF of 7884 and 7899?

We will first find the prime factorization of 7884 and 7899. After we will calculate the factors of 7884 and 7899 and find the biggest common factor number .

Step-1: Prime Factorization of 7884

Prime factors of 7884 are 2, 3, 73. Prime factorization of 7884 in exponential form is:

7884 = 2² × 3³ × 73¹

Step-2: Prime Factorization of 7899

Prime factors of 7899 are 3, 2633. Prime factorization of 7899 in exponential form is:

7899 = 3¹ × 2633¹

Step-3: Factors of 7884

List of positive integer factors of 7884 that divides 7884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942

Step-4: Factors of 7899

List of positive integer factors of 7899 that divides 7884 without a remainder.

1, 3, 2633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7884 and 7899. The biggest common factor number is the GCF number.
So the greatest common factor 7884 and 7899 is 3.

Also check out the Least Common Multiple of 7884 and 7899