What is the Greatest Common Factor of 76884 and 76896?

Greatest common factor (GCF) of 76884 and 76896 is 12.

GCF(76884,76896) = 12

We will now calculate the prime factors of 76884 and 76896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76884 and 76896.

How to find the GCF of 76884 and 76896?

We will first find the prime factorization of 76884 and 76896. After we will calculate the factors of 76884 and 76896 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76896

Prime factors of 76896 are 2, 3, 89. Prime factorization of 76896 in exponential form is:

76896 = 2⁵ × 3³ × 89¹

Step-3: Factors of 76884

List of positive integer factors of 76884 that divides 76884 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

Step-4: Factors of 76896

List of positive integer factors of 76896 that divides 76884 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 89, 96, 108, 144, 178, 216, 267, 288, 356, 432, 534, 712, 801, 864, 1068, 1424, 1602, 2136, 2403, 2848, 3204, 4272, 4806, 6408, 8544, 9612, 12816, 19224, 25632, 38448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76884 and 76896. The biggest common factor number is the GCF number.
So the greatest common factor 76884 and 76896 is 12.

Also check out the Least Common Multiple of 76884 and 76896