What is the Greatest Common Factor of 72567 and 72576?

Greatest common factor (GCF) of 72567 and 72576 is 9.

GCF(72567,72576) = 9

We will now calculate the prime factors of 72567 and 72576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72567 and 72576.

How to find the GCF of 72567 and 72576?

We will first find the prime factorization of 72567 and 72576. After we will calculate the factors of 72567 and 72576 and find the biggest common factor number .

Step-1: Prime Factorization of 72567

Prime factors of 72567 are 3, 11, 733. Prime factorization of 72567 in exponential form is:

72567 = 3² × 11¹ × 733¹

Step-2: 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-3: Factors of 72567

List of positive integer factors of 72567 that divides 72567 without a remainder.

1, 3, 9, 11, 33, 99, 733, 2199, 6597, 8063, 24189

Step-4: Factors of 72576

List of positive integer factors of 72576 that divides 72567 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72567 and 72576. The biggest common factor number is the GCF number.
So the greatest common factor 72567 and 72576 is 9.

Also check out the Least Common Multiple of 72567 and 72576