What is the Greatest Common Factor of 73304 and 73312?

Greatest common factor (GCF) of 73304 and 73312 is 8.

GCF(73304,73312) = 8

We will now calculate the prime factors of 73304 and 73312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73304 and 73312.

How to find the GCF of 73304 and 73312?

We will first find the prime factorization of 73304 and 73312. After we will calculate the factors of 73304 and 73312 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 73312

Prime factors of 73312 are 2, 29, 79. Prime factorization of 73312 in exponential form is:

73312 = 2⁵ × 29¹ × 79¹

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 73312

List of positive integer factors of 73312 that divides 73304 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 79, 116, 158, 232, 316, 464, 632, 928, 1264, 2291, 2528, 4582, 9164, 18328, 36656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73304 and 73312. The biggest common factor number is the GCF number.
So the greatest common factor 73304 and 73312 is 8.

Also check out the Least Common Multiple of 73304 and 73312