Greatest Common Factor of 2604 and 2609

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 2604, 2609 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2604 and 2609 is 1.

GCF(2604,2609) = 1

GCF of 2604 and 2609

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

GCF of:
and

Greatest Common Factor of 2604 and 2609

GCF of 2604 and 2609 is 1

Prime Factorization of 2604


2 2604
2 1302
3 651
7 217
31 31
1

Prime factors of 2604 are 2,3,7,31. Prime factorization of 2604 in exponential form is:

2604 = 22×31×71×311

Prime Factorization of 2609


2609 2609
1

Prime factors of 2609 are 2609. Prime factorization of 2609 in exponential form is:

2609 = 26091

∴ So by taking common prime factors GCF of 2604 and 2609 is 1

Greatest Common Factor of 2604 and 2609 by matching factors method

Factors of 2604

List of positive integer factors of 2604 that divides 2604 without a remainder.

1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604

Factors of 2609

List of positive integer factors of 2609 that divides 2609 without a remainder.

1,2609

Greatest Common Factor

We found the factors and prime factorization of 2604 and 2609. The biggest common factor number is the GCF number.
So the greatest common factor 2604 and 2609 is 1.

Also check out the Least Common Multiple of 2604 and 2609

Properties of GCF 2604 and 2609

(i) The GCF of 2604 and 2609 is associative

GCF of 2604 and 2609 = GCF of 2609 and 2604

Related Greatest Common Factor of 2604

Related Greatest Common Factor of 2609

Frequently Asked Questions on GCF of 2604 and 2609

1. What is the GCF of 2604 and 2609?

Answer: GCF of 2604 and 2609 is 1.

2. What are the Factors of 2604?

Answer: Factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604. There are 24 integers that are factors of 2604. The greatest factor of 2604 is 2604.

3. What are the Factors of 2609?

Answer: Factors of 2609 are 1, 2609. There are 2 integers that are factors of 2609. The greatest factor of 2609 is 2609.

4. How to Find the GCF of 2604 and 2609?

Answer:

Greatest Common Factor of 2604 and 2609 = 1

Step 1: Find the prime factorization of 2604

2604 = 2 x 2 x 3 x 7 x 31

Step 2: Find the prime factorization of 2609

2609 = 2609

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 2604 and 2609 is 1