Greatest Common Factor of 3040 and 3045

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 3040, 3045 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3040 and 3045 is 5.

GCF(3040,3045) = 5

GCF of 3040 and 3045

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

GCF of:
and

Greatest Common Factor of 3040 and 3045

GCF of 3040 and 3045 is 5

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

Prime Factorization of 3045


3 3045
5 1015
7 203
29 29
1

Prime factors of 3045 are 3,5,7,29. Prime factorization of 3045 in exponential form is:

3045 = 31×51×71×291

∴ So by taking common prime factors GCF of 3040 and 3045 is 5

Greatest Common Factor of 3040 and 3045 by matching factors method

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

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045

Greatest Common Factor

We found the factors and prime factorization of 3040 and 3045. The biggest common factor number is the GCF number.
So the greatest common factor 3040 and 3045 is 5.

Also check out the Least Common Multiple of 3040 and 3045

Properties of GCF 3040 and 3045

(i) The GCF of 3040 and 3045 is associative

GCF of 3040 and 3045 = GCF of 3045 and 3040

Related Greatest Common Factor of 3040

Related Greatest Common Factor of 3045

Frequently Asked Questions on GCF of 3040 and 3045

1. What is the GCF of 3040 and 3045?

Answer: GCF of 3040 and 3045 is 5.

2. 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.

3. What are the Factors of 3045?

Answer: Factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045. There are 16 integers that are factors of 3045. The greatest factor of 3045 is 3045.

4. How to Find the GCF of 3040 and 3045?

Answer:

Greatest Common Factor of 3040 and 3045 = 5

Step 1: Find the prime factorization of 3040

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

Step 2: Find the prime factorization of 3045

3045 = 3 x 5 x 7 x 29

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 3040 and 3045 is 5