Greatest Common Factor of 40024 and 40032

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 40024, 40032 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40024 and 40032 is 8.

GCF(40024,40032) = 8

GCF of 40024 and 40032

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

GCF of:
and

Greatest Common Factor of 40024 and 40032

GCF of 40024 and 40032 is 8

Prime Factorization of 40024


2 40024
2 20012
2 10006
5003 5003
1

Prime factors of 40024 are 2,5003. Prime factorization of 40024 in exponential form is:

40024 = 23×50031

Prime Factorization of 40032


2 40032
2 20016
2 10008
2 5004
2 2502
3 1251
3 417
139 139
1

Prime factors of 40032 are 2,3,139. Prime factorization of 40032 in exponential form is:

40032 = 25×32×1391

∴ So by taking common prime factors GCF of 40024 and 40032 is 8

Greatest Common Factor of 40024 and 40032 by matching factors method

Factors of 40024

List of positive integer factors of 40024 that divides 40024 without a remainder.

1,2,4,8,5003,10006,20012,40024

Factors of 40032

List of positive integer factors of 40032 that divides 40032 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,139,144,278,288,417,556,834,1112,1251,1668,2224,2502,3336,4448,5004,6672,10008,13344,20016,40032

Greatest Common Factor

We found the factors and prime factorization of 40024 and 40032. The biggest common factor number is the GCF number.
So the greatest common factor 40024 and 40032 is 8.

Also check out the Least Common Multiple of 40024 and 40032

Properties of GCF 40024 and 40032

(i) The GCF of 40024 and 40032 is associative

GCF of 40024 and 40032 = GCF of 40032 and 40024

Related Greatest Common Factor of 40024

Related Greatest Common Factor of 40032

Frequently Asked Questions on GCF of 40024 and 40032

1. What is the GCF of 40024 and 40032?

Answer: GCF of 40024 and 40032 is 8.

2. What are the Factors of 40024?

Answer: Factors of 40024 are 1, 2, 4, 8, 5003, 10006, 20012, 40024. There are 8 integers that are factors of 40024. The greatest factor of 40024 is 40024.

3. What are the Factors of 40032?

Answer: Factors of 40032 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 139, 144, 278, 288, 417, 556, 834, 1112, 1251, 1668, 2224, 2502, 3336, 4448, 5004, 6672, 10008, 13344, 20016, 40032. There are 36 integers that are factors of 40032. The greatest factor of 40032 is 40032.

4. How to Find the GCF of 40024 and 40032?

Answer:

Greatest Common Factor of 40024 and 40032 = 8

Step 1: Find the prime factorization of 40024

40024 = 2 x 2 x 2 x 5003

Step 2: Find the prime factorization of 40032

40032 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 139

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 40024 and 40032 is 8