Greatest Common Factor of 608 and 609

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 608, 609 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 608 and 609 is 1.

GCF(608,609) = 1

GCF of 608 and 609

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

GCF of:
and

Greatest Common Factor of 608 and 609

GCF of 608 and 609 is 1

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

Prime Factorization of 609


3 609
7 203
29 29
1

Prime factors of 609 are 3,7,29. Prime factorization of 609 in exponential form is:

609 = 31×71×291

∴ So by taking common prime factors GCF of 608 and 609 is 1

Greatest Common Factor of 608 and 609 by matching factors method

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

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors and prime factorization of 608 and 609. The biggest common factor number is the GCF number.
So the greatest common factor 608 and 609 is 1.

Also check out the Least Common Multiple of 608 and 609

Properties of GCF 608 and 609

(i) The GCF of 608 and 609 is associative

GCF of 608 and 609 = GCF of 609 and 608

Related Greatest Common Factor of 608

Related Greatest Common Factor of 609

Frequently Asked Questions on GCF of 608 and 609

1. What is the GCF of 608 and 609?

Answer: GCF of 608 and 609 is 1.

2. 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.

3. What are the Factors of 609?

Answer: Factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609. There are 8 integers that are factors of 609. The greatest factor of 609 is 609.

4. How to Find the GCF of 608 and 609?

Answer:

Greatest Common Factor of 608 and 609 = 1

Step 1: Find the prime factorization of 608

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

Step 2: Find the prime factorization of 609

609 = 3 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 = = 1

Step 4: Therefore, the greatest common factor of 608 and 609 is 1