What is the Greatest Common Factor of 39850 and 39857?

Greatest common factor (GCF) of 39850 and 39857 is 1.

GCF(39850,39857) = 1

We will now calculate the prime factors of 39850 and 39857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39850 and 39857.

How to find the GCF of 39850 and 39857?

We will first find the prime factorization of 39850 and 39857. After we will calculate the factors of 39850 and 39857 and find the biggest common factor number .

Step-1: Prime Factorization of 39850

Prime factors of 39850 are 2, 5, 797. Prime factorization of 39850 in exponential form is:

39850 = 2¹ × 5² × 797¹

Step-2: Prime Factorization of 39857

Prime factors of 39857 are 39857. Prime factorization of 39857 in exponential form is:

39857 = 39857¹

Step-3: Factors of 39850

List of positive integer factors of 39850 that divides 39850 without a remainder.

1, 2, 5, 10, 25, 50, 797, 1594, 3985, 7970, 19925

Step-4: Factors of 39857

List of positive integer factors of 39857 that divides 39850 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39850 and 39857. The biggest common factor number is the GCF number.
So the greatest common factor 39850 and 39857 is 1.

Also check out the Least Common Multiple of 39850 and 39857