What is the Greatest Common Factor of 46314 and 46318?

Greatest common factor (GCF) of 46314 and 46318 is 2.

GCF(46314,46318) = 2

We will now calculate the prime factors of 46314 and 46318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46314 and 46318.

How to find the GCF of 46314 and 46318?

We will first find the prime factorization of 46314 and 46318. After we will calculate the factors of 46314 and 46318 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 46318

Prime factors of 46318 are 2, 23159. Prime factorization of 46318 in exponential form is:

46318 = 2¹ × 23159¹

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 46318

List of positive integer factors of 46318 that divides 46314 without a remainder.

1, 2, 23159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46314 and 46318. The biggest common factor number is the GCF number.
So the greatest common factor 46314 and 46318 is 2.

Also check out the Least Common Multiple of 46314 and 46318