What is the Greatest Common Factor of 40978 and 40986?

Greatest common factor (GCF) of 40978 and 40986 is 2.

GCF(40978,40986) = 2

We will now calculate the prime factors of 40978 and 40986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40978 and 40986.

How to find the GCF of 40978 and 40986?

We will first find the prime factorization of 40978 and 40986. After we will calculate the factors of 40978 and 40986 and find the biggest common factor number .

Step-1: Prime Factorization of 40978

Prime factors of 40978 are 2, 7, 2927. Prime factorization of 40978 in exponential form is:

40978 = 2¹ × 7¹ × 2927¹

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 40978

List of positive integer factors of 40978 that divides 40978 without a remainder.

1, 2, 7, 14, 2927, 5854, 20489

Step-4: Factors of 40986

List of positive integer factors of 40986 that divides 40978 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 40978 and 40986. The biggest common factor number is the GCF number.
So the greatest common factor 40978 and 40986 is 2.

Also check out the Least Common Multiple of 40978 and 40986