What is the Greatest Common Factor of 8038 and 8056?

Greatest common factor (GCF) of 8038 and 8056 is 2.

GCF(8038,8056) = 2

We will now calculate the prime factors of 8038 and 8056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8038 and 8056.

How to find the GCF of 8038 and 8056?

We will first find the prime factorization of 8038 and 8056. After we will calculate the factors of 8038 and 8056 and find the biggest common factor number .

Step-1: Prime Factorization of 8038

Prime factors of 8038 are 2, 4019. Prime factorization of 8038 in exponential form is:

8038 = 2¹ × 4019¹

Step-2: Prime Factorization of 8056

Prime factors of 8056 are 2, 19, 53. Prime factorization of 8056 in exponential form is:

8056 = 2³ × 19¹ × 53¹

Step-3: Factors of 8038

List of positive integer factors of 8038 that divides 8038 without a remainder.

1, 2, 4019

Step-4: Factors of 8056

List of positive integer factors of 8056 that divides 8038 without a remainder.

1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8038 and 8056. The biggest common factor number is the GCF number.
So the greatest common factor 8038 and 8056 is 2.

Also check out the Least Common Multiple of 8038 and 8056