What is the Greatest Common Factor of 38568 and 38586?

Greatest common factor (GCF) of 38568 and 38586 is 6.

GCF(38568,38586) = 6

We will now calculate the prime factors of 38568 and 38586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38568 and 38586.

How to find the GCF of 38568 and 38586?

We will first find the prime factorization of 38568 and 38586. After we will calculate the factors of 38568 and 38586 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38586

Prime factors of 38586 are 2, 3, 59, 109. Prime factorization of 38586 in exponential form is:

38586 = 2¹ × 3¹ × 59¹ × 109¹

Step-3: Factors of 38568

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

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

Step-4: Factors of 38586

List of positive integer factors of 38586 that divides 38568 without a remainder.

1, 2, 3, 6, 59, 109, 118, 177, 218, 327, 354, 654, 6431, 12862, 19293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38568 and 38586. The biggest common factor number is the GCF number.
So the greatest common factor 38568 and 38586 is 6.

Also check out the Least Common Multiple of 38568 and 38586