What is the Greatest Common Factor of 73280 and 73295?

Greatest common factor (GCF) of 73280 and 73295 is 5.

GCF(73280,73295) = 5

We will now calculate the prime factors of 73280 and 73295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73280 and 73295.

How to find the GCF of 73280 and 73295?

We will first find the prime factorization of 73280 and 73295. After we will calculate the factors of 73280 and 73295 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73295

Prime factors of 73295 are 5, 107, 137. Prime factorization of 73295 in exponential form is:

73295 = 5¹ × 107¹ × 137¹

Step-3: Factors of 73280

List of positive integer factors of 73280 that divides 73280 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

Step-4: Factors of 73295

List of positive integer factors of 73295 that divides 73280 without a remainder.

1, 5, 107, 137, 535, 685, 14659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73280 and 73295. The biggest common factor number is the GCF number.
So the greatest common factor 73280 and 73295 is 5.

Also check out the Least Common Multiple of 73280 and 73295