What is the Greatest Common Factor of 46314 and 46321?

Greatest common factor (GCF) of 46314 and 46321 is 1.

GCF(46314,46321) = 1

We will now calculate the prime factors of 46314 and 46321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46314 and 46321.

How to find the GCF of 46314 and 46321?

We will first find the prime factorization of 46314 and 46321. After we will calculate the factors of 46314 and 46321 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 46321

Prime factors of 46321 are 11, 4211. Prime factorization of 46321 in exponential form is:

46321 = 11¹ × 4211¹

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 46321

List of positive integer factors of 46321 that divides 46314 without a remainder.

1, 11, 4211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46314 and 46321. The biggest common factor number is the GCF number.
So the greatest common factor 46314 and 46321 is 1.

Also check out the Least Common Multiple of 46314 and 46321