What is the Greatest Common Factor of 46304 and 46314?

Greatest common factor (GCF) of 46304 and 46314 is 2.

GCF(46304,46314) = 2

We will now calculate the prime factors of 46304 and 46314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46304 and 46314.

How to find the GCF of 46304 and 46314?

We will first find the prime factorization of 46304 and 46314. After we will calculate the factors of 46304 and 46314 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 46314

Prime factors of 46314 are 2, 3, 31, 83. Prime factorization of 46314 in exponential form is:

46314 = 2¹ × 3² × 31¹ × 83¹

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 46314

List of positive integer factors of 46314 that divides 46304 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 83, 93, 166, 186, 249, 279, 498, 558, 747, 1494, 2573, 5146, 7719, 15438, 23157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46304 and 46314. The biggest common factor number is the GCF number.
So the greatest common factor 46304 and 46314 is 2.

Also check out the Least Common Multiple of 46304 and 46314