What is the Greatest Common Factor of 40665 and 40680?

Greatest common factor (GCF) of 40665 and 40680 is 15.

GCF(40665,40680) = 15

We will now calculate the prime factors of 40665 and 40680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40665 and 40680.

How to find the GCF of 40665 and 40680?

We will first find the prime factorization of 40665 and 40680. After we will calculate the factors of 40665 and 40680 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 40680

Prime factors of 40680 are 2, 3, 5, 113. Prime factorization of 40680 in exponential form is:

40680 = 2³ × 3² × 5¹ × 113¹

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 40680

List of positive integer factors of 40680 that divides 40665 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 113, 120, 180, 226, 339, 360, 452, 565, 678, 904, 1017, 1130, 1356, 1695, 2034, 2260, 2712, 3390, 4068, 4520, 5085, 6780, 8136, 10170, 13560, 20340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40665 and 40680. The biggest common factor number is the GCF number.
So the greatest common factor 40665 and 40680 is 15.

Also check out the Least Common Multiple of 40665 and 40680