What is the Greatest Common Factor of 4032 and 4047?

Greatest common factor (GCF) of 4032 and 4047 is 3.

GCF(4032,4047) = 3

We will now calculate the prime factors of 4032 and 4047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4032 and 4047.

How to find the GCF of 4032 and 4047?

We will first find the prime factorization of 4032 and 4047. After we will calculate the factors of 4032 and 4047 and find the biggest common factor number .

Step-1: Prime Factorization of 4032

Prime factors of 4032 are 2, 3, 7. Prime factorization of 4032 in exponential form is:

4032 = 2⁶ × 3² × 7¹

Step-2: 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-3: Factors of 4032

List of positive integer factors of 4032 that divides 4032 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016

Step-4: Factors of 4047

List of positive integer factors of 4047 that divides 4032 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4032 and 4047. The biggest common factor number is the GCF number.
So the greatest common factor 4032 and 4047 is 3.

Also check out the Least Common Multiple of 4032 and 4047