Greatest Common Factor of 4027 and 4032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4027, 4032 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4027 and 4032 is 1.

GCF(4027,4032) = 1

GCF of 4027 and 4032

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4027 and 4032

GCF of 4027 and 4032 is 1

Prime Factorization of 4027


4027 4027
1

Prime factors of 4027 are 4027. Prime factorization of 4027 in exponential form is:

4027 = 40271

Prime Factorization of 4032


2 4032
2 2016
2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

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

4032 = 26×32×71

∴ So by taking common prime factors GCF of 4027 and 4032 is 1

Greatest Common Factor of 4027 and 4032 by matching factors method

Factors of 4027

List of positive integer factors of 4027 that divides 4027 without a remainder.

1,4027

Factors of 4032

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

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032

Greatest Common Factor

We found the factors and prime factorization of 4027 and 4032. The biggest common factor number is the GCF number.
So the greatest common factor 4027 and 4032 is 1.

Also check out the Least Common Multiple of 4027 and 4032

Properties of GCF 4027 and 4032

(i) The GCF of 4027 and 4032 is associative

GCF of 4027 and 4032 = GCF of 4032 and 4027

Related Greatest Common Factor of 4027

Related Greatest Common Factor of 4032

Frequently Asked Questions on GCF of 4027 and 4032

1. What is the GCF of 4027 and 4032?

Answer: GCF of 4027 and 4032 is 1.

2. What are the Factors of 4027?

Answer: Factors of 4027 are 1, 4027. There are 2 integers that are factors of 4027. The greatest factor of 4027 is 4027.

3. What are the Factors of 4032?

Answer: Factors of 4032 are 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, 4032. There are 42 integers that are factors of 4032. The greatest factor of 4032 is 4032.

4. How to Find the GCF of 4027 and 4032?

Answer:

Greatest Common Factor of 4027 and 4032 = 1

Step 1: Find the prime factorization of 4027

4027 = 4027

Step 2: Find the prime factorization of 4032

4032 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 4027 and 4032 is 1