What is the Greatest Common Factor of 46314 and 46328?

Greatest common factor (GCF) of 46314 and 46328 is 2.

GCF(46314,46328) = 2

We will now calculate the prime factors of 46314 and 46328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46314 and 46328.

How to find the GCF of 46314 and 46328?

We will first find the prime factorization of 46314 and 46328. After we will calculate the factors of 46314 and 46328 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46328

Prime factors of 46328 are 2, 5791. Prime factorization of 46328 in exponential form is:

46328 = 2³ × 5791¹

Step-3: Factors of 46314

List of positive integer factors of 46314 that divides 46314 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

Step-4: Factors of 46328

List of positive integer factors of 46328 that divides 46314 without a remainder.

1, 2, 4, 8, 5791, 11582, 23164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46314 and 46328. The biggest common factor number is the GCF number.
So the greatest common factor 46314 and 46328 is 2.

Also check out the Least Common Multiple of 46314 and 46328