What is the Greatest Common Factor of 4047 and 4056?

Greatest common factor (GCF) of 4047 and 4056 is 3.

GCF(4047,4056) = 3

We will now calculate the prime factors of 4047 and 4056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4047 and 4056.

How to find the GCF of 4047 and 4056?

We will first find the prime factorization of 4047 and 4056. After we will calculate the factors of 4047 and 4056 and find the biggest common factor number .

Step-1: Prime Factorization of 4047

Prime factors of 4047 are 3, 19, 71. Prime factorization of 4047 in exponential form is:

4047 = 3¹ × 19¹ × 71¹

Step-2: Prime Factorization of 4056

Prime factors of 4056 are 2, 3, 13. Prime factorization of 4056 in exponential form is:

4056 = 2³ × 3¹ × 13²

Step-3: Factors of 4047

List of positive integer factors of 4047 that divides 4047 without a remainder.

1, 3, 19, 57, 71, 213, 1349

Step-4: Factors of 4056

List of positive integer factors of 4056 that divides 4047 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4047 and 4056. The biggest common factor number is the GCF number.
So the greatest common factor 4047 and 4056 is 3.

Also check out the Least Common Multiple of 4047 and 4056