What is the Greatest Common Factor of 38665 and 38681?

Greatest common factor (GCF) of 38665 and 38681 is 1.

GCF(38665,38681) = 1

We will now calculate the prime factors of 38665 and 38681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38665 and 38681.

How to find the GCF of 38665 and 38681?

We will first find the prime factorization of 38665 and 38681. After we will calculate the factors of 38665 and 38681 and find the biggest common factor number .

Step-1: Prime Factorization of 38665

Prime factors of 38665 are 5, 11, 19, 37. Prime factorization of 38665 in exponential form is:

38665 = 5¹ × 11¹ × 19¹ × 37¹

Step-2: Prime Factorization of 38681

Prime factors of 38681 are 47, 823. Prime factorization of 38681 in exponential form is:

38681 = 47¹ × 823¹

Step-3: Factors of 38665

List of positive integer factors of 38665 that divides 38665 without a remainder.

1, 5, 11, 19, 37, 55, 95, 185, 209, 407, 703, 1045, 2035, 3515, 7733

Step-4: Factors of 38681

List of positive integer factors of 38681 that divides 38665 without a remainder.

1, 47, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38665 and 38681. The biggest common factor number is the GCF number.
So the greatest common factor 38665 and 38681 is 1.

Also check out the Least Common Multiple of 38665 and 38681