What is the Greatest Common Factor of 73268 and 73280?

Greatest common factor (GCF) of 73268 and 73280 is 4.

GCF(73268,73280) = 4

We will now calculate the prime factors of 73268 and 73280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73268 and 73280.

How to find the GCF of 73268 and 73280?

We will first find the prime factorization of 73268 and 73280. After we will calculate the factors of 73268 and 73280 and find the biggest common factor number .

Step-1: Prime Factorization of 73268

Prime factors of 73268 are 2, 13, 1409. Prime factorization of 73268 in exponential form is:

73268 = 2² × 13¹ × 1409¹

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 73268

List of positive integer factors of 73268 that divides 73268 without a remainder.

1, 2, 4, 13, 26, 52, 1409, 2818, 5636, 18317, 36634

Step-4: Factors of 73280

List of positive integer factors of 73280 that divides 73268 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 73268 and 73280. The biggest common factor number is the GCF number.
So the greatest common factor 73268 and 73280 is 4.

Also check out the Least Common Multiple of 73268 and 73280