What is the Greatest Common Factor of 40641 and 40647?

Greatest common factor (GCF) of 40641 and 40647 is 3.

GCF(40641,40647) = 3

We will now calculate the prime factors of 40641 and 40647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40641 and 40647.

How to find the GCF of 40641 and 40647?

We will first find the prime factorization of 40641 and 40647. After we will calculate the factors of 40641 and 40647 and find the biggest common factor number .

Step-1: Prime Factorization of 40641

Prime factors of 40641 are 3, 19, 23, 31. Prime factorization of 40641 in exponential form is:

40641 = 3¹ × 19¹ × 23¹ × 31¹

Step-2: Prime Factorization of 40647

Prime factors of 40647 are 3, 17, 797. Prime factorization of 40647 in exponential form is:

40647 = 3¹ × 17¹ × 797¹

Step-3: Factors of 40641

List of positive integer factors of 40641 that divides 40641 without a remainder.

1, 3, 19, 23, 31, 57, 69, 93, 437, 589, 713, 1311, 1767, 2139, 13547

Step-4: Factors of 40647

List of positive integer factors of 40647 that divides 40641 without a remainder.

1, 3, 17, 51, 797, 2391, 13549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40641 and 40647. The biggest common factor number is the GCF number.
So the greatest common factor 40641 and 40647 is 3.

Also check out the Least Common Multiple of 40641 and 40647