What is the Greatest Common Factor of 76320 and 76332?

Greatest common factor (GCF) of 76320 and 76332 is 12.

GCF(76320,76332) = 12

We will now calculate the prime factors of 76320 and 76332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76320 and 76332.

How to find the GCF of 76320 and 76332?

We will first find the prime factorization of 76320 and 76332. After we will calculate the factors of 76320 and 76332 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 76332

Prime factors of 76332 are 2, 3, 6361. Prime factorization of 76332 in exponential form is:

76332 = 2² × 3¹ × 6361¹

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 76332

List of positive integer factors of 76332 that divides 76320 without a remainder.

1, 2, 3, 4, 6, 12, 6361, 12722, 19083, 25444, 38166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76320 and 76332. The biggest common factor number is the GCF number.
So the greatest common factor 76320 and 76332 is 12.

Also check out the Least Common Multiple of 76320 and 76332