Greatest Common Factor of 5567 and 5569

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 5567, 5569 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5567 and 5569 is 1.

GCF(5567,5569) = 1

GCF of 5567 and 5569

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

GCF of:
and

Greatest Common Factor of 5567 and 5569

GCF of 5567 and 5569 is 1

Prime Factorization of 5567


19 5567
293 293
1

Prime factors of 5567 are 19,293. Prime factorization of 5567 in exponential form is:

5567 = 191×2931

Prime Factorization of 5569


5569 5569
1

Prime factors of 5569 are 5569. Prime factorization of 5569 in exponential form is:

5569 = 55691

∴ So by taking common prime factors GCF of 5567 and 5569 is 1

Greatest Common Factor of 5567 and 5569 by matching factors method

Factors of 5567

List of positive integer factors of 5567 that divides 5567 without a remainder.

1,19,293,5567

Factors of 5569

List of positive integer factors of 5569 that divides 5569 without a remainder.

1,5569

Greatest Common Factor

We found the factors and prime factorization of 5567 and 5569. The biggest common factor number is the GCF number.
So the greatest common factor 5567 and 5569 is 1.

Also check out the Least Common Multiple of 5567 and 5569

Properties of GCF 5567 and 5569

(i) The GCF of 5567 and 5569 is associative

GCF of 5567 and 5569 = GCF of 5569 and 5567

Frequently Asked Questions on GCF of 5567 and 5569

1. What is the GCF of 5567 and 5569?

Answer: GCF of 5567 and 5569 is 1.

2. What are the Factors of 5567?

Answer: Factors of 5567 are 1, 19, 293, 5567. There are 4 integers that are factors of 5567. The greatest factor of 5567 is 5567.

3. What are the Factors of 5569?

Answer: Factors of 5569 are 1, 5569. There are 2 integers that are factors of 5569. The greatest factor of 5569 is 5569.

4. How to Find the GCF of 5567 and 5569?

Answer:

Greatest Common Factor of 5567 and 5569 = 1

Step 1: Find the prime factorization of 5567

5567 = 19 x 293

Step 2: Find the prime factorization of 5569

5569 = 5569

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 5567 and 5569 is 1