What is the Greatest Common Factor of 38517 and 38529?

Greatest common factor (GCF) of 38517 and 38529 is 3.

GCF(38517,38529) = 3

We will now calculate the prime factors of 38517 and 38529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38517 and 38529.

How to find the GCF of 38517 and 38529?

We will first find the prime factorization of 38517 and 38529. After we will calculate the factors of 38517 and 38529 and find the biggest common factor number .

Step-1: Prime Factorization of 38517

Prime factors of 38517 are 3, 37, 347. Prime factorization of 38517 in exponential form is:

38517 = 3¹ × 37¹ × 347¹

Step-2: Prime Factorization of 38529

Prime factors of 38529 are 3, 1427. Prime factorization of 38529 in exponential form is:

38529 = 3³ × 1427¹

Step-3: Factors of 38517

List of positive integer factors of 38517 that divides 38517 without a remainder.

1, 3, 37, 111, 347, 1041, 12839

Step-4: Factors of 38529

List of positive integer factors of 38529 that divides 38517 without a remainder.

1, 3, 9, 27, 1427, 4281, 12843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38517 and 38529. The biggest common factor number is the GCF number.
So the greatest common factor 38517 and 38529 is 3.

Also check out the Least Common Multiple of 38517 and 38529