What is the Greatest Common Factor of 38856 and 38872?

Greatest common factor (GCF) of 38856 and 38872 is 8.

GCF(38856,38872) = 8

We will now calculate the prime factors of 38856 and 38872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38856 and 38872.

How to find the GCF of 38856 and 38872?

We will first find the prime factorization of 38856 and 38872. After we will calculate the factors of 38856 and 38872 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38872

Prime factors of 38872 are 2, 43, 113. Prime factorization of 38872 in exponential form is:

38872 = 2³ × 43¹ × 113¹

Step-3: Factors of 38856

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

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

Step-4: Factors of 38872

List of positive integer factors of 38872 that divides 38856 without a remainder.

1, 2, 4, 8, 43, 86, 113, 172, 226, 344, 452, 904, 4859, 9718, 19436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38856 and 38872. The biggest common factor number is the GCF number.
So the greatest common factor 38856 and 38872 is 8.

Also check out the Least Common Multiple of 38856 and 38872