What is the Greatest Common Factor of 38551 and 38568?

Greatest common factor (GCF) of 38551 and 38568 is 1.

GCF(38551,38568) = 1

We will now calculate the prime factors of 38551 and 38568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38551 and 38568.

How to find the GCF of 38551 and 38568?

We will first find the prime factorization of 38551 and 38568. After we will calculate the factors of 38551 and 38568 and find the biggest common factor number .

Step-1: Prime Factorization of 38551

Prime factors of 38551 are 19, 2029. Prime factorization of 38551 in exponential form is:

38551 = 19¹ × 2029¹

Step-2: Prime Factorization of 38568

Prime factors of 38568 are 2, 3, 1607. Prime factorization of 38568 in exponential form is:

38568 = 2³ × 3¹ × 1607¹

Step-3: Factors of 38551

List of positive integer factors of 38551 that divides 38551 without a remainder.

1, 19, 2029

Step-4: Factors of 38568

List of positive integer factors of 38568 that divides 38551 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1607, 3214, 4821, 6428, 9642, 12856, 19284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38551 and 38568. The biggest common factor number is the GCF number.
So the greatest common factor 38551 and 38568 is 1.

Also check out the Least Common Multiple of 38551 and 38568