What is the Greatest Common Factor of 40986 and 41006?

Greatest common factor (GCF) of 40986 and 41006 is 2.

GCF(40986,41006) = 2

We will now calculate the prime factors of 40986 and 41006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40986 and 41006.

How to find the GCF of 40986 and 41006?

We will first find the prime factorization of 40986 and 41006. After we will calculate the factors of 40986 and 41006 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41006

Prime factors of 41006 are 2, 7, 29, 101. Prime factorization of 41006 in exponential form is:

41006 = 2¹ × 7¹ × 29¹ × 101¹

Step-3: Factors of 40986

List of positive integer factors of 40986 that divides 40986 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

Step-4: Factors of 41006

List of positive integer factors of 41006 that divides 40986 without a remainder.

1, 2, 7, 14, 29, 58, 101, 202, 203, 406, 707, 1414, 2929, 5858, 20503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40986 and 41006. The biggest common factor number is the GCF number.
So the greatest common factor 40986 and 41006 is 2.

Also check out the Least Common Multiple of 40986 and 41006