What is the Greatest Common Factor of 40698 and 40715?

Greatest common factor (GCF) of 40698 and 40715 is 17.

GCF(40698,40715) = 17

We will now calculate the prime factors of 40698 and 40715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40698 and 40715.

How to find the GCF of 40698 and 40715?

We will first find the prime factorization of 40698 and 40715. After we will calculate the factors of 40698 and 40715 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 40715

Prime factors of 40715 are 5, 17, 479. Prime factorization of 40715 in exponential form is:

40715 = 5¹ × 17¹ × 479¹

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 40715

List of positive integer factors of 40715 that divides 40698 without a remainder.

1, 5, 17, 85, 479, 2395, 8143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40698 and 40715. The biggest common factor number is the GCF number.
So the greatest common factor 40698 and 40715 is 17.

Also check out the Least Common Multiple of 40698 and 40715