What is the Greatest Common Factor of 46299 and 46314?

Greatest common factor (GCF) of 46299 and 46314 is 3.

GCF(46299,46314) = 3

We will now calculate the prime factors of 46299 and 46314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46299 and 46314.

How to find the GCF of 46299 and 46314?

We will first find the prime factorization of 46299 and 46314. After we will calculate the factors of 46299 and 46314 and find the biggest common factor number .

Step-1: Prime Factorization of 46299

Prime factors of 46299 are 3, 11, 23, 61. Prime factorization of 46299 in exponential form is:

46299 = 3¹ × 11¹ × 23¹ × 61¹

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 46299

List of positive integer factors of 46299 that divides 46299 without a remainder.

1, 3, 11, 23, 33, 61, 69, 183, 253, 671, 759, 1403, 2013, 4209, 15433

Step-4: Factors of 46314

List of positive integer factors of 46314 that divides 46299 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 46299 and 46314. The biggest common factor number is the GCF number.
So the greatest common factor 46299 and 46314 is 3.

Also check out the Least Common Multiple of 46299 and 46314