Greatest Common Factor of 3036 and 3040

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 3036, 3040 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3036 and 3040 is 4.

GCF(3036,3040) = 4

GCF of 3036 and 3040

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

GCF of:
and

Greatest Common Factor of 3036 and 3040

GCF of 3036 and 3040 is 4

Prime Factorization of 3036


2 3036
2 1518
3 759
11 253
23 23
1

Prime factors of 3036 are 2,3,11,23. Prime factorization of 3036 in exponential form is:

3036 = 22×31×111×231

Prime Factorization of 3040


2 3040
2 1520
2 760
2 380
2 190
5 95
19 19
1

Prime factors of 3040 are 2,5,19. Prime factorization of 3040 in exponential form is:

3040 = 25×51×191

∴ So by taking common prime factors GCF of 3036 and 3040 is 4

Greatest Common Factor of 3036 and 3040 by matching factors method

Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036

Factors of 3040

List of positive integer factors of 3040 that divides 3040 without a remainder.

1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040

Greatest Common Factor

We found the factors and prime factorization of 3036 and 3040. The biggest common factor number is the GCF number.
So the greatest common factor 3036 and 3040 is 4.

Also check out the Least Common Multiple of 3036 and 3040

Properties of GCF 3036 and 3040

(i) The GCF of 3036 and 3040 is associative

GCF of 3036 and 3040 = GCF of 3040 and 3036

Related Greatest Common Factor of 3036

Related Greatest Common Factor of 3040

Frequently Asked Questions on GCF of 3036 and 3040

1. What is the GCF of 3036 and 3040?

Answer: GCF of 3036 and 3040 is 4.

2. What are the Factors of 3036?

Answer: Factors of 3036 are 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036. There are 24 integers that are factors of 3036. The greatest factor of 3036 is 3036.

3. What are the Factors of 3040?

Answer: Factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040. There are 24 integers that are factors of 3040. The greatest factor of 3040 is 3040.

4. How to Find the GCF of 3036 and 3040?

Answer:

Greatest Common Factor of 3036 and 3040 = 4

Step 1: Find the prime factorization of 3036

3036 = 2 x 2 x 3 x 11 x 23

Step 2: Find the prime factorization of 3040

3040 = 2 x 2 x 2 x 2 x 2 x 5 x 19

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 3036 and 3040 is 4