What is the Greatest Common Factor of 4014 and 4032?

Greatest common factor (GCF) of 4014 and 4032 is 18.

GCF(4014,4032) = 18

We will now calculate the prime factors of 4014 and 4032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4014 and 4032.

How to find the GCF of 4014 and 4032?

We will first find the prime factorization of 4014 and 4032. After we will calculate the factors of 4014 and 4032 and find the biggest common factor number .

Step-1: Prime Factorization of 4014

Prime factors of 4014 are 2, 3, 223. Prime factorization of 4014 in exponential form is:

4014 = 2¹ × 3² × 223¹

Step-2: 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-3: Factors of 4014

List of positive integer factors of 4014 that divides 4014 without a remainder.

1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007

Step-4: Factors of 4032

List of positive integer factors of 4032 that divides 4014 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4014 and 4032. The biggest common factor number is the GCF number.
So the greatest common factor 4014 and 4032 is 18.

Also check out the Least Common Multiple of 4014 and 4032