Greatest Common Factor of 605 and 610

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 605, 610 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 605 and 610 is 5.

GCF(605,610) = 5

GCF of 605 and 610

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

GCF of:
and

Greatest Common Factor of 605 and 610

GCF of 605 and 610 is 5

Prime Factorization of 605


5 605
11 121
11 11
1

Prime factors of 605 are 5,11. Prime factorization of 605 in exponential form is:

605 = 51×112

Prime Factorization of 610


2 610
5 305
61 61
1

Prime factors of 610 are 2,5,61. Prime factorization of 610 in exponential form is:

610 = 21×51×611

∴ So by taking common prime factors GCF of 605 and 610 is 5

Greatest Common Factor of 605 and 610 by matching factors method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors and prime factorization of 605 and 610. The biggest common factor number is the GCF number.
So the greatest common factor 605 and 610 is 5.

Also check out the Least Common Multiple of 605 and 610

Properties of GCF 605 and 610

(i) The GCF of 605 and 610 is associative

GCF of 605 and 610 = GCF of 610 and 605

Related Greatest Common Factor of 605

Related Greatest Common Factor of 610

Frequently Asked Questions on GCF of 605 and 610

1. What is the GCF of 605 and 610?

Answer: GCF of 605 and 610 is 5.

2. What are the Factors of 605?

Answer: Factors of 605 are 1, 5, 11, 55, 121, 605. There are 6 integers that are factors of 605. The greatest factor of 605 is 605.

3. What are the Factors of 610?

Answer: Factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610. There are 8 integers that are factors of 610. The greatest factor of 610 is 610.

4. How to Find the GCF of 605 and 610?

Answer:

Greatest Common Factor of 605 and 610 = 5

Step 1: Find the prime factorization of 605

605 = 5 x 11 x 11

Step 2: Find the prime factorization of 610

610 = 2 x 5 x 61

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 605 and 610 is 5