Greatest Common Factor of 8034 and 8040

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 8034, 8040 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8034 and 8040 is 6.

GCF(8034,8040) = 6

GCF of 8034 and 8040

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

GCF of:
and

Greatest Common Factor of 8034 and 8040

GCF of 8034 and 8040 is 6

Prime Factorization of 8034


2 8034
3 4017
13 1339
103 103
1

Prime factors of 8034 are 2,3,13,103. Prime factorization of 8034 in exponential form is:

8034 = 21×31×131×1031

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

∴ So by taking common prime factors GCF of 8034 and 8040 is 6

Greatest Common Factor of 8034 and 8040 by matching factors method

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

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

Greatest Common Factor

We found the factors and prime factorization of 8034 and 8040. The biggest common factor number is the GCF number.
So the greatest common factor 8034 and 8040 is 6.

Also check out the Least Common Multiple of 8034 and 8040

Properties of GCF 8034 and 8040

(i) The GCF of 8034 and 8040 is associative

GCF of 8034 and 8040 = GCF of 8040 and 8034

Related Greatest Common Factor of 8034

Related Greatest Common Factor of 8040

Frequently Asked Questions on GCF of 8034 and 8040

1. What is the GCF of 8034 and 8040?

Answer: GCF of 8034 and 8040 is 6.

2. What are the Factors of 8034?

Answer: Factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034. There are 16 integers that are factors of 8034. The greatest factor of 8034 is 8034.

3. 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.

4. How to Find the GCF of 8034 and 8040?

Answer:

Greatest Common Factor of 8034 and 8040 = 6

Step 1: Find the prime factorization of 8034

8034 = 2 x 3 x 13 x 103

Step 2: Find the prime factorization of 8040

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8034 and 8040 is 6