What is the Greatest Common Factor of 4032 and 4049?

Greatest common factor (GCF) of 4032 and 4049 is 1.

GCF(4032,4049) = 1

We will now calculate the prime factors of 4032 and 4049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4032 and 4049.

How to find the GCF of 4032 and 4049?

We will first find the prime factorization of 4032 and 4049. After we will calculate the factors of 4032 and 4049 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 4049

Prime factors of 4049 are 4049. Prime factorization of 4049 in exponential form is:

4049 = 4049¹

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 4049

List of positive integer factors of 4049 that divides 4032 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4032 and 4049. The biggest common factor number is the GCF number.
So the greatest common factor 4032 and 4049 is 1.

Also check out the Least Common Multiple of 4032 and 4049