Greatest Common Factor of 8040 and 8045

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, 8045 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8040 and 8045 is 5.

GCF(8040,8045) = 5

GCF of 8040 and 8045

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

GCF of:
and

Greatest Common Factor of 8040 and 8045

GCF of 8040 and 8045 is 5

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 8045


5 8045
1609 1609
1

Prime factors of 8045 are 5,1609. Prime factorization of 8045 in exponential form is:

8045 = 51×16091

∴ So by taking common prime factors GCF of 8040 and 8045 is 5

Greatest Common Factor of 8040 and 8045 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 8045

List of positive integer factors of 8045 that divides 8045 without a remainder.

1,5,1609,8045

Greatest Common Factor

We found the factors and prime factorization of 8040 and 8045. The biggest common factor number is the GCF number.
So the greatest common factor 8040 and 8045 is 5.

Also check out the Least Common Multiple of 8040 and 8045

Properties of GCF 8040 and 8045

(i) The GCF of 8040 and 8045 is associative

GCF of 8040 and 8045 = GCF of 8045 and 8040

Related Greatest Common Factor of 8040

Related Greatest Common Factor of 8045

Frequently Asked Questions on GCF of 8040 and 8045

1. What is the GCF of 8040 and 8045?

Answer: GCF of 8040 and 8045 is 5.

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 8045?

Answer: Factors of 8045 are 1, 5, 1609, 8045. There are 4 integers that are factors of 8045. The greatest factor of 8045 is 8045.

4. How to Find the GCF of 8040 and 8045?

Answer:

Greatest Common Factor of 8040 and 8045 = 5

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 8045

8045 = 5 x 1609

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8040 and 8045 is 5