What is the Greatest Common Factor of 46341 and 46347?

Greatest common factor (GCF) of 46341 and 46347 is 3.

GCF(46341,46347) = 3

We will now calculate the prime factors of 46341 and 46347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46341 and 46347.

How to find the GCF of 46341 and 46347?

We will first find the prime factorization of 46341 and 46347. After we will calculate the factors of 46341 and 46347 and find the biggest common factor number .

Step-1: Prime Factorization of 46341

Prime factors of 46341 are 3, 19, 271. Prime factorization of 46341 in exponential form is:

46341 = 3² × 19¹ × 271¹

Step-2: Prime Factorization of 46347

Prime factors of 46347 are 3, 7, 2207. Prime factorization of 46347 in exponential form is:

46347 = 3¹ × 7¹ × 2207¹

Step-3: Factors of 46341

List of positive integer factors of 46341 that divides 46341 without a remainder.

1, 3, 9, 19, 57, 171, 271, 813, 2439, 5149, 15447

Step-4: Factors of 46347

List of positive integer factors of 46347 that divides 46341 without a remainder.

1, 3, 7, 21, 2207, 6621, 15449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46341 and 46347. The biggest common factor number is the GCF number.
So the greatest common factor 46341 and 46347 is 3.

Also check out the Least Common Multiple of 46341 and 46347