What is the Greatest Common Factor of 73280 and 73298?

Greatest common factor (GCF) of 73280 and 73298 is 2.

GCF(73280,73298) = 2

We will now calculate the prime factors of 73280 and 73298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73280 and 73298.

How to find the GCF of 73280 and 73298?

We will first find the prime factorization of 73280 and 73298. After we will calculate the factors of 73280 and 73298 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 73298

Prime factors of 73298 are 2, 67, 547. Prime factorization of 73298 in exponential form is:

73298 = 2¹ × 67¹ × 547¹

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 73298

List of positive integer factors of 73298 that divides 73280 without a remainder.

1, 2, 67, 134, 547, 1094, 36649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73280 and 73298. The biggest common factor number is the GCF number.
So the greatest common factor 73280 and 73298 is 2.

Also check out the Least Common Multiple of 73280 and 73298