Greatest Common Factor of 7405 and 7410

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 7405, 7410 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7405 and 7410 is 5.

GCF(7405,7410) = 5

GCF of 7405 and 7410

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

GCF of:
and

Greatest Common Factor of 7405 and 7410

GCF of 7405 and 7410 is 5

Prime Factorization of 7405


5 7405
1481 1481
1

Prime factors of 7405 are 5,1481. Prime factorization of 7405 in exponential form is:

7405 = 51×14811

Prime Factorization of 7410


2 7410
3 3705
5 1235
13 247
19 19
1

Prime factors of 7410 are 2,3,5,13,19. Prime factorization of 7410 in exponential form is:

7410 = 21×31×51×131×191

∴ So by taking common prime factors GCF of 7405 and 7410 is 5

Greatest Common Factor of 7405 and 7410 by matching factors method

Factors of 7405

List of positive integer factors of 7405 that divides 7405 without a remainder.

1,5,1481,7405

Factors of 7410

List of positive integer factors of 7410 that divides 7410 without a remainder.

1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410

Greatest Common Factor

We found the factors and prime factorization of 7405 and 7410. The biggest common factor number is the GCF number.
So the greatest common factor 7405 and 7410 is 5.

Also check out the Least Common Multiple of 7405 and 7410

Properties of GCF 7405 and 7410

(i) The GCF of 7405 and 7410 is associative

GCF of 7405 and 7410 = GCF of 7410 and 7405

Related Greatest Common Factor of 7405

Related Greatest Common Factor of 7410

Frequently Asked Questions on GCF of 7405 and 7410

1. What is the GCF of 7405 and 7410?

Answer: GCF of 7405 and 7410 is 5.

2. What are the Factors of 7405?

Answer: Factors of 7405 are 1, 5, 1481, 7405. There are 4 integers that are factors of 7405. The greatest factor of 7405 is 7405.

3. What are the Factors of 7410?

Answer: Factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410. There are 32 integers that are factors of 7410. The greatest factor of 7410 is 7410.

4. How to Find the GCF of 7405 and 7410?

Answer:

Greatest Common Factor of 7405 and 7410 = 5

Step 1: Find the prime factorization of 7405

7405 = 5 x 1481

Step 2: Find the prime factorization of 7410

7410 = 2 x 3 x 5 x 13 x 19

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 7405 and 7410 is 5