What is the Greatest Common Factor of 38786 and 38797?

Greatest common factor (GCF) of 38786 and 38797 is 11.

GCF(38786,38797) = 11

We will now calculate the prime factors of 38786 and 38797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38786 and 38797.

How to find the GCF of 38786 and 38797?

We will first find the prime factorization of 38786 and 38797. After we will calculate the factors of 38786 and 38797 and find the biggest common factor number .

Step-1: Prime Factorization of 38786

Prime factors of 38786 are 2, 11, 41, 43. Prime factorization of 38786 in exponential form is:

38786 = 2¹ × 11¹ × 41¹ × 43¹

Step-2: Prime Factorization of 38797

Prime factors of 38797 are 11, 3527. Prime factorization of 38797 in exponential form is:

38797 = 11¹ × 3527¹

Step-3: Factors of 38786

List of positive integer factors of 38786 that divides 38786 without a remainder.

1, 2, 11, 22, 41, 43, 82, 86, 451, 473, 902, 946, 1763, 3526, 19393

Step-4: Factors of 38797

List of positive integer factors of 38797 that divides 38786 without a remainder.

1, 11, 3527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38786 and 38797. The biggest common factor number is the GCF number.
So the greatest common factor 38786 and 38797 is 11.

Also check out the Least Common Multiple of 38786 and 38797