What is the Greatest Common Factor of 76320 and 76328?

Greatest common factor (GCF) of 76320 and 76328 is 8.

GCF(76320,76328) = 8

We will now calculate the prime factors of 76320 and 76328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76320 and 76328.

How to find the GCF of 76320 and 76328?

We will first find the prime factorization of 76320 and 76328. After we will calculate the factors of 76320 and 76328 and find the biggest common factor number .

Step-1: Prime Factorization of 76320

Prime factors of 76320 are 2, 3, 5, 53. Prime factorization of 76320 in exponential form is:

76320 = 2⁵ × 3² × 5¹ × 53¹

Step-2: Prime Factorization of 76328

Prime factors of 76328 are 2, 7, 29, 47. Prime factorization of 76328 in exponential form is:

76328 = 2³ × 7¹ × 29¹ × 47¹

Step-3: Factors of 76320

List of positive integer factors of 76320 that divides 76320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 53, 60, 72, 80, 90, 96, 106, 120, 144, 159, 160, 180, 212, 240, 265, 288, 318, 360, 424, 477, 480, 530, 636, 720, 795, 848, 954, 1060, 1272, 1440, 1590, 1696, 1908, 2120, 2385, 2544, 3180, 3816, 4240, 4770, 5088, 6360, 7632, 8480, 9540, 12720, 15264, 19080, 25440, 38160

Step-4: Factors of 76328

List of positive integer factors of 76328 that divides 76320 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 47, 56, 58, 94, 116, 188, 203, 232, 329, 376, 406, 658, 812, 1316, 1363, 1624, 2632, 2726, 5452, 9541, 10904, 19082, 38164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76320 and 76328. The biggest common factor number is the GCF number.
So the greatest common factor 76320 and 76328 is 8.

Also check out the Least Common Multiple of 76320 and 76328