What is the Greatest Common Factor of 38641 and 38658?

Greatest common factor (GCF) of 38641 and 38658 is 17.

GCF(38641,38658) = 17

We will now calculate the prime factors of 38641 and 38658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38641 and 38658.

How to find the GCF of 38641 and 38658?

We will first find the prime factorization of 38641 and 38658. After we will calculate the factors of 38641 and 38658 and find the biggest common factor number .

Step-1: Prime Factorization of 38641

Prime factors of 38641 are 17, 2273. Prime factorization of 38641 in exponential form is:

38641 = 17¹ × 2273¹

Step-2: Prime Factorization of 38658

Prime factors of 38658 are 2, 3, 17, 379. Prime factorization of 38658 in exponential form is:

38658 = 2¹ × 3¹ × 17¹ × 379¹

Step-3: Factors of 38641

List of positive integer factors of 38641 that divides 38641 without a remainder.

1, 17, 2273

Step-4: Factors of 38658

List of positive integer factors of 38658 that divides 38641 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 379, 758, 1137, 2274, 6443, 12886, 19329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38641 and 38658. The biggest common factor number is the GCF number.
So the greatest common factor 38641 and 38658 is 17.

Also check out the Least Common Multiple of 38641 and 38658