What is the Greatest Common Factor of 46304 and 46320?

Greatest common factor (GCF) of 46304 and 46320 is 16.

GCF(46304,46320) = 16

We will now calculate the prime factors of 46304 and 46320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46304 and 46320.

How to find the GCF of 46304 and 46320?

We will first find the prime factorization of 46304 and 46320. After we will calculate the factors of 46304 and 46320 and find the biggest common factor number .

Step-1: Prime Factorization of 46304

Prime factors of 46304 are 2, 1447. Prime factorization of 46304 in exponential form is:

46304 = 2⁵ × 1447¹

Step-2: Prime Factorization of 46320

Prime factors of 46320 are 2, 3, 5, 193. Prime factorization of 46320 in exponential form is:

46320 = 2⁴ × 3¹ × 5¹ × 193¹

Step-3: Factors of 46304

List of positive integer factors of 46304 that divides 46304 without a remainder.

1, 2, 4, 8, 16, 32, 1447, 2894, 5788, 11576, 23152

Step-4: Factors of 46320

List of positive integer factors of 46320 that divides 46304 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 193, 240, 386, 579, 772, 965, 1158, 1544, 1930, 2316, 2895, 3088, 3860, 4632, 5790, 7720, 9264, 11580, 15440, 23160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46304 and 46320. The biggest common factor number is the GCF number.
So the greatest common factor 46304 and 46320 is 16.

Also check out the Least Common Multiple of 46304 and 46320