What is the Greatest Common Factor of 4032 and 4042?

Greatest common factor (GCF) of 4032 and 4042 is 2.

GCF(4032,4042) = 2

We will now calculate the prime factors of 4032 and 4042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4032 and 4042.

How to find the GCF of 4032 and 4042?

We will first find the prime factorization of 4032 and 4042. After we will calculate the factors of 4032 and 4042 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 4042

Prime factors of 4042 are 2, 43, 47. Prime factorization of 4042 in exponential form is:

4042 = 2¹ × 43¹ × 47¹

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 4042

List of positive integer factors of 4042 that divides 4032 without a remainder.

1, 2, 43, 47, 86, 94, 2021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4032 and 4042. The biggest common factor number is the GCF number.
So the greatest common factor 4032 and 4042 is 2.

Also check out the Least Common Multiple of 4032 and 4042