What is the Greatest Common Factor of 38643 and 38663?

Greatest common factor (GCF) of 38643 and 38663 is 1.

GCF(38643,38663) = 1

We will now calculate the prime factors of 38643 and 38663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38643 and 38663.

How to find the GCF of 38643 and 38663?

We will first find the prime factorization of 38643 and 38663. After we will calculate the factors of 38643 and 38663 and find the biggest common factor number .

Step-1: Prime Factorization of 38643

Prime factors of 38643 are 3, 11, 1171. Prime factorization of 38643 in exponential form is:

38643 = 3¹ × 11¹ × 1171¹

Step-2: Prime Factorization of 38663

Prime factors of 38663 are 23, 41. Prime factorization of 38663 in exponential form is:

38663 = 23¹ × 41²

Step-3: Factors of 38643

List of positive integer factors of 38643 that divides 38643 without a remainder.

1, 3, 11, 33, 1171, 3513, 12881

Step-4: Factors of 38663

List of positive integer factors of 38663 that divides 38643 without a remainder.

1, 23, 41, 943, 1681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38643 and 38663. The biggest common factor number is the GCF number.
So the greatest common factor 38643 and 38663 is 1.

Also check out the Least Common Multiple of 38643 and 38663