Greatest Common Factor of 4032 and 4040

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 4032, 4040 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4032 and 4040 is 8.

GCF(4032,4040) = 8

GCF of 4032 and 4040

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

GCF of:
and

Greatest Common Factor of 4032 and 4040

GCF of 4032 and 4040 is 8

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 2,3,7. Prime factorization of 4032 in exponential form is:

4032 = 26×32×71

Prime Factorization of 4040


2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 4040 are 2,5,101. Prime factorization of 4040 in exponential form is:

4040 = 23×51×1011

∴ So by taking common prime factors GCF of 4032 and 4040 is 8

Greatest Common Factor of 4032 and 4040 by matching factors method

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

Factors of 4040

List of positive integer factors of 4040 that divides 4040 without a remainder.

1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040

Greatest Common Factor

We found the factors and prime factorization of 4032 and 4040. The biggest common factor number is the GCF number.
So the greatest common factor 4032 and 4040 is 8.

Also check out the Least Common Multiple of 4032 and 4040

Properties of GCF 4032 and 4040

(i) The GCF of 4032 and 4040 is associative

GCF of 4032 and 4040 = GCF of 4040 and 4032

Related Greatest Common Factor of 4032

Related Greatest Common Factor of 4040

Frequently Asked Questions on GCF of 4032 and 4040

1. What is the GCF of 4032 and 4040?

Answer: GCF of 4032 and 4040 is 8.

2. 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.

3. What are the Factors of 4040?

Answer: Factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040. There are 16 integers that are factors of 4040. The greatest factor of 4040 is 4040.

4. How to Find the GCF of 4032 and 4040?

Answer:

Greatest Common Factor of 4032 and 4040 = 8

Step 1: 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 2: Find the prime factorization of 4040

4040 = 2 x 2 x 2 x 5 x 101

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4032 and 4040 is 8