What is the Greatest Common Factor of 39710 and 39729?

Greatest common factor (GCF) of 39710 and 39729 is 19.

GCF(39710,39729) = 19

We will now calculate the prime factors of 39710 and 39729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39710 and 39729.

How to find the GCF of 39710 and 39729?

We will first find the prime factorization of 39710 and 39729. After we will calculate the factors of 39710 and 39729 and find the biggest common factor number .

Step-1: Prime Factorization of 39710

Prime factors of 39710 are 2, 5, 11, 19. Prime factorization of 39710 in exponential form is:

39710 = 2¹ × 5¹ × 11¹ × 19²

Step-2: Prime Factorization of 39729

Prime factors of 39729 are 3, 17, 19, 41. Prime factorization of 39729 in exponential form is:

39729 = 3¹ × 17¹ × 19¹ × 41¹

Step-3: Factors of 39710

List of positive integer factors of 39710 that divides 39710 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 361, 418, 722, 1045, 1805, 2090, 3610, 3971, 7942, 19855

Step-4: Factors of 39729

List of positive integer factors of 39729 that divides 39710 without a remainder.

1, 3, 17, 19, 41, 51, 57, 123, 323, 697, 779, 969, 2091, 2337, 13243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39710 and 39729. The biggest common factor number is the GCF number.
So the greatest common factor 39710 and 39729 is 19.

Also check out the Least Common Multiple of 39710 and 39729