What is the Greatest Common Factor of 8037 and 8056?

Greatest common factor (GCF) of 8037 and 8056 is 19.

GCF(8037,8056) = 19

We will now calculate the prime factors of 8037 and 8056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8037 and 8056.

How to find the GCF of 8037 and 8056?

We will first find the prime factorization of 8037 and 8056. After we will calculate the factors of 8037 and 8056 and find the biggest common factor number .

Step-1: Prime Factorization of 8037

Prime factors of 8037 are 3, 19, 47. Prime factorization of 8037 in exponential form is:

8037 = 3² × 19¹ × 47¹

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 8037

List of positive integer factors of 8037 that divides 8037 without a remainder.

1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679

Step-4: Factors of 8056

List of positive integer factors of 8056 that divides 8037 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 8037 and 8056. The biggest common factor number is the GCF number.
So the greatest common factor 8037 and 8056 is 19.

Also check out the Least Common Multiple of 8037 and 8056