What is the Greatest Common Factor of 40698 and 40717?

Greatest common factor (GCF) of 40698 and 40717 is 19.

GCF(40698,40717) = 19

We will now calculate the prime factors of 40698 and 40717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40698 and 40717.

How to find the GCF of 40698 and 40717?

We will first find the prime factorization of 40698 and 40717. After we will calculate the factors of 40698 and 40717 and find the biggest common factor number .

Step-1: Prime Factorization of 40698

Prime factors of 40698 are 2, 3, 7, 17, 19. Prime factorization of 40698 in exponential form is:

40698 = 2¹ × 3² × 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 40717

Prime factors of 40717 are 19, 2143. Prime factorization of 40717 in exponential form is:

40717 = 19¹ × 2143¹

Step-3: Factors of 40698

List of positive integer factors of 40698 that divides 40698 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 19, 21, 34, 38, 42, 51, 57, 63, 102, 114, 119, 126, 133, 153, 171, 238, 266, 306, 323, 342, 357, 399, 646, 714, 798, 969, 1071, 1197, 1938, 2142, 2261, 2394, 2907, 4522, 5814, 6783, 13566, 20349

Step-4: Factors of 40717

List of positive integer factors of 40717 that divides 40698 without a remainder.

1, 19, 2143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40698 and 40717. The biggest common factor number is the GCF number.
So the greatest common factor 40698 and 40717 is 19.

Also check out the Least Common Multiple of 40698 and 40717