What is the Greatest Common Factor of 40698 and 40709?

Greatest common factor (GCF) of 40698 and 40709 is 1.

GCF(40698,40709) = 1

We will now calculate the prime factors of 40698 and 40709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40698 and 40709.

How to find the GCF of 40698 and 40709?

We will first find the prime factorization of 40698 and 40709. After we will calculate the factors of 40698 and 40709 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 40709

Prime factors of 40709 are 40709. Prime factorization of 40709 in exponential form is:

40709 = 40709¹

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 40709

List of positive integer factors of 40709 that divides 40698 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40698 and 40709. The biggest common factor number is the GCF number.
So the greatest common factor 40698 and 40709 is 1.

Also check out the Least Common Multiple of 40698 and 40709