What is the Greatest Common Factor of 38842 and 38856?

Greatest common factor (GCF) of 38842 and 38856 is 2.

GCF(38842,38856) = 2

We will now calculate the prime factors of 38842 and 38856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38842 and 38856.

How to find the GCF of 38842 and 38856?

We will first find the prime factorization of 38842 and 38856. After we will calculate the factors of 38842 and 38856 and find the biggest common factor number .

Step-1: Prime Factorization of 38842

Prime factors of 38842 are 2, 19421. Prime factorization of 38842 in exponential form is:

38842 = 2¹ × 19421¹

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 38842

List of positive integer factors of 38842 that divides 38842 without a remainder.

1, 2, 19421

Step-4: Factors of 38856

List of positive integer factors of 38856 that divides 38842 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 38842 and 38856. The biggest common factor number is the GCF number.
So the greatest common factor 38842 and 38856 is 2.

Also check out the Least Common Multiple of 38842 and 38856