What is the Greatest Common Factor of 46641 and 46647?

Greatest common factor (GCF) of 46641 and 46647 is 3.

GCF(46641,46647) = 3

We will now calculate the prime factors of 46641 and 46647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46641 and 46647.

How to find the GCF of 46641 and 46647?

We will first find the prime factorization of 46641 and 46647. After we will calculate the factors of 46641 and 46647 and find the biggest common factor number .

Step-1: Prime Factorization of 46641

Prime factors of 46641 are 3, 7, 2221. Prime factorization of 46641 in exponential form is:

46641 = 3¹ × 7¹ × 2221¹

Step-2: 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-3: Factors of 46641

List of positive integer factors of 46641 that divides 46641 without a remainder.

1, 3, 7, 21, 2221, 6663, 15547

Step-4: Factors of 46647

List of positive integer factors of 46647 that divides 46641 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46641 and 46647. The biggest common factor number is the GCF number.
So the greatest common factor 46641 and 46647 is 3.

Also check out the Least Common Multiple of 46641 and 46647