What is the Greatest Common Factor of 4047 and 4066?

Greatest common factor (GCF) of 4047 and 4066 is 19.

GCF(4047,4066) = 19

We will now calculate the prime factors of 4047 and 4066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4047 and 4066.

How to find the GCF of 4047 and 4066?

We will first find the prime factorization of 4047 and 4066. After we will calculate the factors of 4047 and 4066 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 4066

Prime factors of 4066 are 2, 19, 107. Prime factorization of 4066 in exponential form is:

4066 = 2¹ × 19¹ × 107¹

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 4066

List of positive integer factors of 4066 that divides 4047 without a remainder.

1, 2, 19, 38, 107, 214, 2033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4047 and 4066. The biggest common factor number is the GCF number.
So the greatest common factor 4047 and 4066 is 19.

Also check out the Least Common Multiple of 4047 and 4066