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What is the Greatest Common Factor of 73264 and 73280?

Greatest common factor (GCF) of 73264 and 73280 is 16.

GCF(73264,73280) = 16

We will now calculate the prime factors of 73264 and 73280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73264 and 73280.

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How to find the GCF of 73264 and 73280?

We will first find the prime factorization of 73264 and 73280. After we will calculate the factors of 73264 and 73280 and find the biggest common factor number .

Step-1: Prime Factorization of 73264

Prime factors of 73264 are 2, 19, 241. Prime factorization of 73264 in exponential form is:

73264 = 24 × 191 × 2411

Step-2: Prime Factorization of 73280

Prime factors of 73280 are 2, 5, 229. Prime factorization of 73280 in exponential form is:

73280 = 26 × 51 × 2291

Step-3: Factors of 73264

List of positive integer factors of 73264 that divides 73264 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 241, 304, 482, 964, 1928, 3856, 4579, 9158, 18316, 36632

Step-4: Factors of 73280

List of positive integer factors of 73280 that divides 73264 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 229, 320, 458, 916, 1145, 1832, 2290, 3664, 4580, 7328, 9160, 14656, 18320, 36640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73264 and 73280. The biggest common factor number is the GCF number.
So the greatest common factor 73264 and 73280 is 16.

Also check out the Least Common Multiple of 73264 and 73280