Greatest Common Factor of 605 and 608

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, 608 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 605 and 608 is 1.

GCF(605,608) = 1

GCF of 605 and 608

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

GCF of:
and

Greatest Common Factor of 605 and 608

GCF of 605 and 608 is 1

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 608


2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 608 are 2,19. Prime factorization of 608 in exponential form is:

608 = 25×191

∴ So by taking common prime factors GCF of 605 and 608 is 1

Greatest Common Factor of 605 and 608 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 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors and prime factorization of 605 and 608. The biggest common factor number is the GCF number.
So the greatest common factor 605 and 608 is 1.

Also check out the Least Common Multiple of 605 and 608

Properties of GCF 605 and 608

(i) The GCF of 605 and 608 is associative

GCF of 605 and 608 = GCF of 608 and 605

Related Greatest Common Factor of 605

Related Greatest Common Factor of 608

Frequently Asked Questions on GCF of 605 and 608

1. What is the GCF of 605 and 608?

Answer: GCF of 605 and 608 is 1.

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 608?

Answer: Factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608. There are 12 integers that are factors of 608. The greatest factor of 608 is 608.

4. How to Find the GCF of 605 and 608?

Answer:

Greatest Common Factor of 605 and 608 = 1

Step 1: Find the prime factorization of 605

605 = 5 x 11 x 11

Step 2: Find the prime factorization of 608

608 = 2 x 2 x 2 x 2 x 2 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 605 and 608 is 1