What is the Greatest Common Factor of 38857 and 38871?

Greatest common factor (GCF) of 38857 and 38871 is 7.

GCF(38857,38871) = 7

We will now calculate the prime factors of 38857 and 38871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38857 and 38871.

How to find the GCF of 38857 and 38871?

We will first find the prime factorization of 38857 and 38871. After we will calculate the factors of 38857 and 38871 and find the biggest common factor number .

Step-1: Prime Factorization of 38857

Prime factors of 38857 are 7, 13, 61. Prime factorization of 38857 in exponential form is:

38857 = 7² × 13¹ × 61¹

Step-2: Prime Factorization of 38871

Prime factors of 38871 are 3, 7, 617. Prime factorization of 38871 in exponential form is:

38871 = 3² × 7¹ × 617¹

Step-3: Factors of 38857

List of positive integer factors of 38857 that divides 38857 without a remainder.

1, 7, 13, 49, 61, 91, 427, 637, 793, 2989, 5551

Step-4: Factors of 38871

List of positive integer factors of 38871 that divides 38857 without a remainder.

1, 3, 7, 9, 21, 63, 617, 1851, 4319, 5553, 12957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38857 and 38871. The biggest common factor number is the GCF number.
So the greatest common factor 38857 and 38871 is 7.

Also check out the Least Common Multiple of 38857 and 38871