What is the Greatest Common Factor of 4032 and 4046?

Greatest common factor (GCF) of 4032 and 4046 is 14.

GCF(4032,4046) = 14

We will now calculate the prime factors of 4032 and 4046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4032 and 4046.

How to find the GCF of 4032 and 4046?

We will first find the prime factorization of 4032 and 4046. After we will calculate the factors of 4032 and 4046 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 4046

Prime factors of 4046 are 2, 7, 17. Prime factorization of 4046 in exponential form is:

4046 = 2¹ × 7¹ × 17²

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 4046

List of positive integer factors of 4046 that divides 4032 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4032 and 4046. The biggest common factor number is the GCF number.
So the greatest common factor 4032 and 4046 is 14.

Also check out the Least Common Multiple of 4032 and 4046