What is the Greatest Common Factor of 46647 and 46659?

Greatest common factor (GCF) of 46647 and 46659 is 3.

GCF(46647,46659) = 3

We will now calculate the prime factors of 46647 and 46659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46647 and 46659.

How to find the GCF of 46647 and 46659?

We will first find the prime factorization of 46647 and 46659. After we will calculate the factors of 46647 and 46659 and find the biggest common factor number .

Step-1: Prime Factorization of 46647

Prime factors of 46647 are 3, 71, 73. Prime factorization of 46647 in exponential form is:

46647 = 3² × 71¹ × 73¹

Step-2: Prime Factorization of 46659

Prime factors of 46659 are 3, 103, 151. Prime factorization of 46659 in exponential form is:

46659 = 3¹ × 103¹ × 151¹

Step-3: Factors of 46647

List of positive integer factors of 46647 that divides 46647 without a remainder.

1, 3, 9, 71, 73, 213, 219, 639, 657, 5183, 15549

Step-4: Factors of 46659

List of positive integer factors of 46659 that divides 46647 without a remainder.

1, 3, 103, 151, 309, 453, 15553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46647 and 46659. The biggest common factor number is the GCF number.
So the greatest common factor 46647 and 46659 is 3.

Also check out the Least Common Multiple of 46647 and 46659