What is the Greatest Common Factor of 7872 and 7884?

Greatest common factor (GCF) of 7872 and 7884 is 12.

GCF(7872,7884) = 12

We will now calculate the prime factors of 7872 and 7884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7872 and 7884.

How to find the GCF of 7872 and 7884?

We will first find the prime factorization of 7872 and 7884. After we will calculate the factors of 7872 and 7884 and find the biggest common factor number .

Step-1: Prime Factorization of 7872

Prime factors of 7872 are 2, 3, 41. Prime factorization of 7872 in exponential form is:

7872 = 2⁶ × 3¹ × 41¹

Step-2: 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-3: Factors of 7872

List of positive integer factors of 7872 that divides 7872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 164, 192, 246, 328, 492, 656, 984, 1312, 1968, 2624, 3936

Step-4: Factors of 7884

List of positive integer factors of 7884 that divides 7872 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7872 and 7884. The biggest common factor number is the GCF number.
So the greatest common factor 7872 and 7884 is 12.

Also check out the Least Common Multiple of 7872 and 7884