Greatest Common Factor of 8036 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 8036, 8040 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8036 and 8040 is 4.

GCF(8036,8040) = 4

GCF of 8036 and 8040

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

GCF of:
and

Greatest Common Factor of 8036 and 8040

GCF of 8036 and 8040 is 4

Prime Factorization of 8036


2 8036
2 4018
7 2009
7 287
41 41
1

Prime factors of 8036 are 2,7,41. Prime factorization of 8036 in exponential form is:

8036 = 22×72×411

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 8036 and 8040 is 4

Greatest Common Factor of 8036 and 8040 by matching factors method

Factors of 8036

List of positive integer factors of 8036 that divides 8036 without a remainder.

1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036

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 8036 and 8040. The biggest common factor number is the GCF number.
So the greatest common factor 8036 and 8040 is 4.

Also check out the Least Common Multiple of 8036 and 8040

Properties of GCF 8036 and 8040

(i) The GCF of 8036 and 8040 is associative

GCF of 8036 and 8040 = GCF of 8040 and 8036

Related Greatest Common Factor of 8036

Related Greatest Common Factor of 8040

Frequently Asked Questions on GCF of 8036 and 8040

1. What is the GCF of 8036 and 8040?

Answer: GCF of 8036 and 8040 is 4.

2. What are the Factors of 8036?

Answer: Factors of 8036 are 1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036. There are 18 integers that are factors of 8036. The greatest factor of 8036 is 8036.

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 8036 and 8040?

Answer:

Greatest Common Factor of 8036 and 8040 = 4

Step 1: Find the prime factorization of 8036

8036 = 2 x 2 x 7 x 7 x 41

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 2 = 4

Step 4: Therefore, the greatest common factor of 8036 and 8040 is 4