Greatest Common Factor of 609 and 614

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 609, 614 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 609 and 614 is 1.

GCF(609,614) = 1

GCF of 609 and 614

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

GCF of:
and

Greatest Common Factor of 609 and 614

GCF of 609 and 614 is 1

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

Prime Factorization of 614


2 614
307 307
1

Prime factors of 614 are 2,307. Prime factorization of 614 in exponential form is:

614 = 21×3071

∴ So by taking common prime factors GCF of 609 and 614 is 1

Greatest Common Factor of 609 and 614 by matching factors method

Factors of 609

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

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

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors and prime factorization of 609 and 614. The biggest common factor number is the GCF number.
So the greatest common factor 609 and 614 is 1.

Also check out the Least Common Multiple of 609 and 614

Properties of GCF 609 and 614

(i) The GCF of 609 and 614 is associative

GCF of 609 and 614 = GCF of 614 and 609

Related Greatest Common Factor of 609

Related Greatest Common Factor of 614

Frequently Asked Questions on GCF of 609 and 614

1. What is the GCF of 609 and 614?

Answer: GCF of 609 and 614 is 1.

2. 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.

3. What are the Factors of 614?

Answer: Factors of 614 are 1, 2, 307, 614. There are 4 integers that are factors of 614. The greatest factor of 614 is 614.

4. How to Find the GCF of 609 and 614?

Answer:

Greatest Common Factor of 609 and 614 = 1

Step 1: Find the prime factorization of 609

609 = 3 x 7 x 29

Step 2: Find the prime factorization of 614

614 = 2 x 307

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 609 and 614 is 1