Greatest Common Factor of 609 and 616

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, 616 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 609 and 616 is 7.

GCF(609,616) = 7

GCF of 609 and 616

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

GCF of:
and

Greatest Common Factor of 609 and 616

GCF of 609 and 616 is 7

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 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2,7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

∴ So by taking common prime factors GCF of 609 and 616 is 7

Greatest Common Factor of 609 and 616 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 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors and prime factorization of 609 and 616. The biggest common factor number is the GCF number.
So the greatest common factor 609 and 616 is 7.

Also check out the Least Common Multiple of 609 and 616

Properties of GCF 609 and 616

(i) The GCF of 609 and 616 is associative

GCF of 609 and 616 = GCF of 616 and 609

Related Greatest Common Factor of 609

Related Greatest Common Factor of 616

Frequently Asked Questions on GCF of 609 and 616

1. What is the GCF of 609 and 616?

Answer: GCF of 609 and 616 is 7.

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 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

4. How to Find the GCF of 609 and 616?

Answer:

Greatest Common Factor of 609 and 616 = 7

Step 1: Find the prime factorization of 609

609 = 3 x 7 x 29

Step 2: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 609 and 616 is 7