Greatest Common Factor of 7600 and 7605

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 7600, 7605 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7600 and 7605 is 5.

GCF(7600,7605) = 5

GCF of 7600 and 7605

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

GCF of:
and

Greatest Common Factor of 7600 and 7605

GCF of 7600 and 7605 is 5

Prime Factorization of 7600


2 7600
2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 7600 are 2,5,19. Prime factorization of 7600 in exponential form is:

7600 = 24×52×191

Prime Factorization of 7605


3 7605
3 2535
5 845
13 169
13 13
1

Prime factors of 7605 are 3,5,13. Prime factorization of 7605 in exponential form is:

7605 = 32×51×132

∴ So by taking common prime factors GCF of 7600 and 7605 is 5

Greatest Common Factor of 7600 and 7605 by matching factors method

Factors of 7600

List of positive integer factors of 7600 that divides 7600 without a remainder.

1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600

Factors of 7605

List of positive integer factors of 7605 that divides 7605 without a remainder.

1,3,5,9,13,15,39,45,65,117,169,195,507,585,845,1521,2535,7605

Greatest Common Factor

We found the factors and prime factorization of 7600 and 7605. The biggest common factor number is the GCF number.
So the greatest common factor 7600 and 7605 is 5.

Also check out the Least Common Multiple of 7600 and 7605

Properties of GCF 7600 and 7605

(i) The GCF of 7600 and 7605 is associative

GCF of 7600 and 7605 = GCF of 7605 and 7600

Related Greatest Common Factor of 7600

Related Greatest Common Factor of 7605

Frequently Asked Questions on GCF of 7600 and 7605

1. What is the GCF of 7600 and 7605?

Answer: GCF of 7600 and 7605 is 5.

2. What are the Factors of 7600?

Answer: Factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600. There are 30 integers that are factors of 7600. The greatest factor of 7600 is 7600.

3. What are the Factors of 7605?

Answer: Factors of 7605 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2535, 7605. There are 18 integers that are factors of 7605. The greatest factor of 7605 is 7605.

4. How to Find the GCF of 7600 and 7605?

Answer:

Greatest Common Factor of 7600 and 7605 = 5

Step 1: Find the prime factorization of 7600

7600 = 2 x 2 x 2 x 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 7605

7605 = 3 x 3 x 5 x 13 x 13

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 7600 and 7605 is 5