What is the Greatest Common Factor of 38838 and 38856?

Greatest common factor (GCF) of 38838 and 38856 is 6.

GCF(38838,38856) = 6

We will now calculate the prime factors of 38838 and 38856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38838 and 38856.

How to find the GCF of 38838 and 38856?

We will first find the prime factorization of 38838 and 38856. After we will calculate the factors of 38838 and 38856 and find the biggest common factor number .

Step-1: Prime Factorization of 38838

Prime factors of 38838 are 2, 3, 6473. Prime factorization of 38838 in exponential form is:

38838 = 2¹ × 3¹ × 6473¹

Step-2: Prime Factorization of 38856

Prime factors of 38856 are 2, 3, 1619. Prime factorization of 38856 in exponential form is:

38856 = 2³ × 3¹ × 1619¹

Step-3: Factors of 38838

List of positive integer factors of 38838 that divides 38838 without a remainder.

1, 2, 3, 6, 6473, 12946, 19419

Step-4: Factors of 38856

List of positive integer factors of 38856 that divides 38838 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1619, 3238, 4857, 6476, 9714, 12952, 19428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38838 and 38856. The biggest common factor number is the GCF number.
So the greatest common factor 38838 and 38856 is 6.

Also check out the Least Common Multiple of 38838 and 38856