What is the Greatest Common Factor of 76872 and 76884?

Greatest common factor (GCF) of 76872 and 76884 is 12.

GCF(76872,76884) = 12

We will now calculate the prime factors of 76872 and 76884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76872 and 76884.

How to find the GCF of 76872 and 76884?

We will first find the prime factorization of 76872 and 76884. After we will calculate the factors of 76872 and 76884 and find the biggest common factor number .

Step-1: Prime Factorization of 76872

Prime factors of 76872 are 2, 3, 3203. Prime factorization of 76872 in exponential form is:

76872 = 2³ × 3¹ × 3203¹

Step-2: Prime Factorization of 76884

Prime factors of 76884 are 2, 3, 43, 149. Prime factorization of 76884 in exponential form is:

76884 = 2² × 3¹ × 43¹ × 149¹

Step-3: Factors of 76872

List of positive integer factors of 76872 that divides 76872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3203, 6406, 9609, 12812, 19218, 25624, 38436

Step-4: Factors of 76884

List of positive integer factors of 76884 that divides 76872 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 149, 172, 258, 298, 447, 516, 596, 894, 1788, 6407, 12814, 19221, 25628, 38442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76872 and 76884. The biggest common factor number is the GCF number.
So the greatest common factor 76872 and 76884 is 12.

Also check out the Least Common Multiple of 76872 and 76884