What is the Greatest Common Factor of 46304 and 46308?

Greatest common factor (GCF) of 46304 and 46308 is 4.

GCF(46304,46308) = 4

We will now calculate the prime factors of 46304 and 46308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46304 and 46308.

How to find the GCF of 46304 and 46308?

We will first find the prime factorization of 46304 and 46308. After we will calculate the factors of 46304 and 46308 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 46308

Prime factors of 46308 are 2, 3, 17, 227. Prime factorization of 46308 in exponential form is:

46308 = 2² × 3¹ × 17¹ × 227¹

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 46308

List of positive integer factors of 46308 that divides 46304 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 227, 454, 681, 908, 1362, 2724, 3859, 7718, 11577, 15436, 23154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46304 and 46308. The biggest common factor number is the GCF number.
So the greatest common factor 46304 and 46308 is 4.

Also check out the Least Common Multiple of 46304 and 46308