What is the Greatest Common Factor of 39710 and 39727?

Greatest common factor (GCF) of 39710 and 39727 is 1.

GCF(39710,39727) = 1

We will now calculate the prime factors of 39710 and 39727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39710 and 39727.

How to find the GCF of 39710 and 39727?

We will first find the prime factorization of 39710 and 39727. After we will calculate the factors of 39710 and 39727 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 39727

Prime factors of 39727 are 39727. Prime factorization of 39727 in exponential form is:

39727 = 39727¹

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 39727

List of positive integer factors of 39727 that divides 39710 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39710 and 39727. The biggest common factor number is the GCF number.
So the greatest common factor 39710 and 39727 is 1.

Also check out the Least Common Multiple of 39710 and 39727