What is the Greatest Common Factor of 40665 and 40674?

Greatest common factor (GCF) of 40665 and 40674 is 3.

GCF(40665,40674) = 3

We will now calculate the prime factors of 40665 and 40674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40665 and 40674.

How to find the GCF of 40665 and 40674?

We will first find the prime factorization of 40665 and 40674. After we will calculate the factors of 40665 and 40674 and find the biggest common factor number .

Step-1: Prime Factorization of 40665

Prime factors of 40665 are 3, 5, 2711. Prime factorization of 40665 in exponential form is:

40665 = 3¹ × 5¹ × 2711¹

Step-2: Prime Factorization of 40674

Prime factors of 40674 are 2, 3, 6779. Prime factorization of 40674 in exponential form is:

40674 = 2¹ × 3¹ × 6779¹

Step-3: Factors of 40665

List of positive integer factors of 40665 that divides 40665 without a remainder.

1, 3, 5, 15, 2711, 8133, 13555

Step-4: Factors of 40674

List of positive integer factors of 40674 that divides 40665 without a remainder.

1, 2, 3, 6, 6779, 13558, 20337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40665 and 40674. The biggest common factor number is the GCF number.
So the greatest common factor 40665 and 40674 is 3.

Also check out the Least Common Multiple of 40665 and 40674