What is the Greatest Common Factor of 4047 and 4065?

Greatest common factor (GCF) of 4047 and 4065 is 3.

GCF(4047,4065) = 3

We will now calculate the prime factors of 4047 and 4065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4047 and 4065.

How to find the GCF of 4047 and 4065?

We will first find the prime factorization of 4047 and 4065. After we will calculate the factors of 4047 and 4065 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 4065

Prime factors of 4065 are 3, 5, 271. Prime factorization of 4065 in exponential form is:

4065 = 3¹ × 5¹ × 271¹

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 4065

List of positive integer factors of 4065 that divides 4047 without a remainder.

1, 3, 5, 15, 271, 813, 1355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4047 and 4065. The biggest common factor number is the GCF number.
So the greatest common factor 4047 and 4065 is 3.

Also check out the Least Common Multiple of 4047 and 4065