Greatest Common Factor of 8040 and 8043

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 8040, 8043 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8040 and 8043 is 3.

GCF(8040,8043) = 3

GCF of 8040 and 8043

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

GCF of:
and

Greatest Common Factor of 8040 and 8043

GCF of 8040 and 8043 is 3

Prime Factorization of 8040


2 8040
2 4020
2 2010
3 1005
5 335
67 67
1

Prime factors of 8040 are 2,3,5,67. Prime factorization of 8040 in exponential form is:

8040 = 23×31×51×671

Prime Factorization of 8043


3 8043
7 2681
383 383
1

Prime factors of 8043 are 3,7,383. Prime factorization of 8043 in exponential form is:

8043 = 31×71×3831

∴ So by taking common prime factors GCF of 8040 and 8043 is 3

Greatest Common Factor of 8040 and 8043 by matching factors method

Factors of 8040

List of positive integer factors of 8040 that divides 8040 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040

Factors of 8043

List of positive integer factors of 8043 that divides 8043 without a remainder.

1,3,7,21,383,1149,2681,8043

Greatest Common Factor

We found the factors and prime factorization of 8040 and 8043. The biggest common factor number is the GCF number.
So the greatest common factor 8040 and 8043 is 3.

Also check out the Least Common Multiple of 8040 and 8043

Properties of GCF 8040 and 8043

(i) The GCF of 8040 and 8043 is associative

GCF of 8040 and 8043 = GCF of 8043 and 8040

Related Greatest Common Factor of 8040

Related Greatest Common Factor of 8043

Frequently Asked Questions on GCF of 8040 and 8043

1. What is the GCF of 8040 and 8043?

Answer: GCF of 8040 and 8043 is 3.

2. What are the Factors of 8040?

Answer: Factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040. There are 32 integers that are factors of 8040. The greatest factor of 8040 is 8040.

3. What are the Factors of 8043?

Answer: Factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043. There are 8 integers that are factors of 8043. The greatest factor of 8043 is 8043.

4. How to Find the GCF of 8040 and 8043?

Answer:

Greatest Common Factor of 8040 and 8043 = 3

Step 1: Find the prime factorization of 8040

8040 = 2 x 2 x 2 x 3 x 5 x 67

Step 2: Find the prime factorization of 8043

8043 = 3 x 7 x 383

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8040 and 8043 is 3