What is the Greatest Common Factor of 73304 and 73321?

Greatest common factor (GCF) of 73304 and 73321 is 17.

GCF(73304,73321) = 17

We will now calculate the prime factors of 73304 and 73321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73304 and 73321.

How to find the GCF of 73304 and 73321?

We will first find the prime factorization of 73304 and 73321. After we will calculate the factors of 73304 and 73321 and find the biggest common factor number .

Step-1: Prime Factorization of 73304

Prime factors of 73304 are 2, 7, 11, 17. Prime factorization of 73304 in exponential form is:

73304 = 2³ × 7² × 11¹ × 17¹

Step-2: Prime Factorization of 73321

Prime factors of 73321 are 17, 19, 227. Prime factorization of 73321 in exponential form is:

73321 = 17¹ × 19¹ × 227¹

Step-3: Factors of 73304

List of positive integer factors of 73304 that divides 73304 without a remainder.

1, 2, 4, 7, 8, 11, 14, 17, 22, 28, 34, 44, 49, 56, 68, 77, 88, 98, 119, 136, 154, 187, 196, 238, 308, 374, 392, 476, 539, 616, 748, 833, 952, 1078, 1309, 1496, 1666, 2156, 2618, 3332, 4312, 5236, 6664, 9163, 10472, 18326, 36652

Step-4: Factors of 73321

List of positive integer factors of 73321 that divides 73304 without a remainder.

1, 17, 19, 227, 323, 3859, 4313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73304 and 73321. The biggest common factor number is the GCF number.
So the greatest common factor 73304 and 73321 is 17.

Also check out the Least Common Multiple of 73304 and 73321