What is the Greatest Common Factor of 40698 and 40712?

Greatest common factor (GCF) of 40698 and 40712 is 14.

GCF(40698,40712) = 14

We will now calculate the prime factors of 40698 and 40712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40698 and 40712.

How to find the GCF of 40698 and 40712?

We will first find the prime factorization of 40698 and 40712. After we will calculate the factors of 40698 and 40712 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 40712

Prime factors of 40712 are 2, 7, 727. Prime factorization of 40712 in exponential form is:

40712 = 2³ × 7¹ × 727¹

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 40712

List of positive integer factors of 40712 that divides 40698 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 727, 1454, 2908, 5089, 5816, 10178, 20356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40698 and 40712. The biggest common factor number is the GCF number.
So the greatest common factor 40698 and 40712 is 14.

Also check out the Least Common Multiple of 40698 and 40712