Greatest Common Factor of 5604 and 5609

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 5604, 5609 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5604 and 5609 is 1.

GCF(5604,5609) = 1

GCF of 5604 and 5609

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

GCF of:
and

Greatest Common Factor of 5604 and 5609

GCF of 5604 and 5609 is 1

Prime Factorization of 5604


2 5604
2 2802
3 1401
467 467
1

Prime factors of 5604 are 2,3,467. Prime factorization of 5604 in exponential form is:

5604 = 22×31×4671

Prime Factorization of 5609


71 5609
79 79
1

Prime factors of 5609 are 71,79. Prime factorization of 5609 in exponential form is:

5609 = 711×791

∴ So by taking common prime factors GCF of 5604 and 5609 is 1

Greatest Common Factor of 5604 and 5609 by matching factors method

Factors of 5604

List of positive integer factors of 5604 that divides 5604 without a remainder.

1,2,3,4,6,12,467,934,1401,1868,2802,5604

Factors of 5609

List of positive integer factors of 5609 that divides 5609 without a remainder.

1,71,79,5609

Greatest Common Factor

We found the factors and prime factorization of 5604 and 5609. The biggest common factor number is the GCF number.
So the greatest common factor 5604 and 5609 is 1.

Also check out the Least Common Multiple of 5604 and 5609

Properties of GCF 5604 and 5609

(i) The GCF of 5604 and 5609 is associative

GCF of 5604 and 5609 = GCF of 5609 and 5604

Related Greatest Common Factor of 5604

Related Greatest Common Factor of 5609

Frequently Asked Questions on GCF of 5604 and 5609

1. What is the GCF of 5604 and 5609?

Answer: GCF of 5604 and 5609 is 1.

2. What are the Factors of 5604?

Answer: Factors of 5604 are 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604. There are 12 integers that are factors of 5604. The greatest factor of 5604 is 5604.

3. What are the Factors of 5609?

Answer: Factors of 5609 are 1, 71, 79, 5609. There are 4 integers that are factors of 5609. The greatest factor of 5609 is 5609.

4. How to Find the GCF of 5604 and 5609?

Answer:

Greatest Common Factor of 5604 and 5609 = 1

Step 1: Find the prime factorization of 5604

5604 = 2 x 2 x 3 x 467

Step 2: Find the prime factorization of 5609

5609 = 71 x 79

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 5604 and 5609 is 1