What is the Greatest Common Factor of 40971 and 40986?

Greatest common factor (GCF) of 40971 and 40986 is 3.

GCF(40971,40986) = 3

We will now calculate the prime factors of 40971 and 40986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40971 and 40986.

How to find the GCF of 40971 and 40986?

We will first find the prime factorization of 40971 and 40986. After we will calculate the factors of 40971 and 40986 and find the biggest common factor number .

Step-1: Prime Factorization of 40971

Prime factors of 40971 are 3, 7, 1951. Prime factorization of 40971 in exponential form is:

40971 = 3¹ × 7¹ × 1951¹

Step-2: Prime Factorization of 40986

Prime factors of 40986 are 2, 3, 11, 23. Prime factorization of 40986 in exponential form is:

40986 = 2¹ × 3⁴ × 11¹ × 23¹

Step-3: Factors of 40971

List of positive integer factors of 40971 that divides 40971 without a remainder.

1, 3, 7, 21, 1951, 5853, 13657

Step-4: Factors of 40986

List of positive integer factors of 40986 that divides 40971 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 23, 27, 33, 46, 54, 66, 69, 81, 99, 138, 162, 198, 207, 253, 297, 414, 506, 594, 621, 759, 891, 1242, 1518, 1782, 1863, 2277, 3726, 4554, 6831, 13662, 20493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40971 and 40986. The biggest common factor number is the GCF number.
So the greatest common factor 40971 and 40986 is 3.

Also check out the Least Common Multiple of 40971 and 40986