What is the Greatest Common Factor of 46314 and 46330?

Greatest common factor (GCF) of 46314 and 46330 is 2.

GCF(46314,46330) = 2

We will now calculate the prime factors of 46314 and 46330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46314 and 46330.

How to find the GCF of 46314 and 46330?

We will first find the prime factorization of 46314 and 46330. After we will calculate the factors of 46314 and 46330 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 46330

Prime factors of 46330 are 2, 5, 41, 113. Prime factorization of 46330 in exponential form is:

46330 = 2¹ × 5¹ × 41¹ × 113¹

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 46330

List of positive integer factors of 46330 that divides 46314 without a remainder.

1, 2, 5, 10, 41, 82, 113, 205, 226, 410, 565, 1130, 4633, 9266, 23165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46314 and 46330. The biggest common factor number is the GCF number.
So the greatest common factor 46314 and 46330 is 2.

Also check out the Least Common Multiple of 46314 and 46330