What is the Greatest Common Factor of 72576 and 72585?

Greatest common factor (GCF) of 72576 and 72585 is 9.

GCF(72576,72585) = 9

We will now calculate the prime factors of 72576 and 72585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72576 and 72585.

How to find the GCF of 72576 and 72585?

We will first find the prime factorization of 72576 and 72585. After we will calculate the factors of 72576 and 72585 and find the biggest common factor number .

Step-1: Prime Factorization of 72576

Prime factors of 72576 are 2, 3, 7. Prime factorization of 72576 in exponential form is:

72576 = 2⁷ × 3⁴ × 7¹

Step-2: Prime Factorization of 72585

Prime factors of 72585 are 3, 5, 1613. Prime factorization of 72585 in exponential form is:

72585 = 3² × 5¹ × 1613¹

Step-3: Factors of 72576

List of positive integer factors of 72576 that divides 72576 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 64, 72, 81, 84, 96, 108, 112, 126, 128, 144, 162, 168, 189, 192, 216, 224, 252, 288, 324, 336, 378, 384, 432, 448, 504, 567, 576, 648, 672, 756, 864, 896, 1008, 1134, 1152, 1296, 1344, 1512, 1728, 2016, 2268, 2592, 2688, 3024, 3456, 4032, 4536, 5184, 6048, 8064, 9072, 10368, 12096, 18144, 24192, 36288

Step-4: Factors of 72585

List of positive integer factors of 72585 that divides 72576 without a remainder.

1, 3, 5, 9, 15, 45, 1613, 4839, 8065, 14517, 24195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72576 and 72585. The biggest common factor number is the GCF number.
So the greatest common factor 72576 and 72585 is 9.

Also check out the Least Common Multiple of 72576 and 72585