What is the Greatest Common Factor of 38643 and 38651?

Greatest common factor (GCF) of 38643 and 38651 is 1.

GCF(38643,38651) = 1

We will now calculate the prime factors of 38643 and 38651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38643 and 38651.

How to find the GCF of 38643 and 38651?

We will first find the prime factorization of 38643 and 38651. After we will calculate the factors of 38643 and 38651 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 38651

Prime factors of 38651 are 38651. Prime factorization of 38651 in exponential form is:

38651 = 38651¹

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 38651

List of positive integer factors of 38651 that divides 38643 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38643 and 38651. The biggest common factor number is the GCF number.
So the greatest common factor 38643 and 38651 is 1.

Also check out the Least Common Multiple of 38643 and 38651