What is the Greatest Common Factor of 73296 and 73304?

Greatest common factor (GCF) of 73296 and 73304 is 8.

GCF(73296,73304) = 8

We will now calculate the prime factors of 73296 and 73304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73296 and 73304.

How to find the GCF of 73296 and 73304?

We will first find the prime factorization of 73296 and 73304. After we will calculate the factors of 73296 and 73304 and find the biggest common factor number .

Step-1: Prime Factorization of 73296

Prime factors of 73296 are 2, 3, 509. Prime factorization of 73296 in exponential form is:

73296 = 2⁴ × 3² × 509¹

Step-2: 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-3: Factors of 73296

List of positive integer factors of 73296 that divides 73296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 509, 1018, 1527, 2036, 3054, 4072, 4581, 6108, 8144, 9162, 12216, 18324, 24432, 36648

Step-4: Factors of 73304

List of positive integer factors of 73304 that divides 73296 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73296 and 73304. The biggest common factor number is the GCF number.
So the greatest common factor 73296 and 73304 is 8.

Also check out the Least Common Multiple of 73296 and 73304