What is the Greatest Common Factor of 46347 and 46362?

Greatest common factor (GCF) of 46347 and 46362 is 3.

GCF(46347,46362) = 3

We will now calculate the prime factors of 46347 and 46362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46347 and 46362.

How to find the GCF of 46347 and 46362?

We will first find the prime factorization of 46347 and 46362. After we will calculate the factors of 46347 and 46362 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46362

Prime factors of 46362 are 2, 3, 7727. Prime factorization of 46362 in exponential form is:

46362 = 2¹ × 3¹ × 7727¹

Step-3: Factors of 46347

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

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

Step-4: Factors of 46362

List of positive integer factors of 46362 that divides 46347 without a remainder.

1, 2, 3, 6, 7727, 15454, 23181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46347 and 46362. The biggest common factor number is the GCF number.
So the greatest common factor 46347 and 46362 is 3.

Also check out the Least Common Multiple of 46347 and 46362