Greatest Common Factor of 5561 and 5565

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 5561, 5565 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5561 and 5565 is 1.

GCF(5561,5565) = 1

GCF of 5561 and 5565

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

GCF of:
and

Greatest Common Factor of 5561 and 5565

GCF of 5561 and 5565 is 1

Prime Factorization of 5561


67 5561
83 83
1

Prime factors of 5561 are 67,83. Prime factorization of 5561 in exponential form is:

5561 = 671×831

Prime Factorization of 5565


3 5565
5 1855
7 371
53 53
1

Prime factors of 5565 are 3,5,7,53. Prime factorization of 5565 in exponential form is:

5565 = 31×51×71×531

∴ So by taking common prime factors GCF of 5561 and 5565 is 1

Greatest Common Factor of 5561 and 5565 by matching factors method

Factors of 5561

List of positive integer factors of 5561 that divides 5561 without a remainder.

1,67,83,5561

Factors of 5565

List of positive integer factors of 5565 that divides 5565 without a remainder.

1,3,5,7,15,21,35,53,105,159,265,371,795,1113,1855,5565

Greatest Common Factor

We found the factors and prime factorization of 5561 and 5565. The biggest common factor number is the GCF number.
So the greatest common factor 5561 and 5565 is 1.

Also check out the Least Common Multiple of 5561 and 5565

Properties of GCF 5561 and 5565

(i) The GCF of 5561 and 5565 is associative

GCF of 5561 and 5565 = GCF of 5565 and 5561

Related Greatest Common Factor of 5561

Related Greatest Common Factor of 5565

Frequently Asked Questions on GCF of 5561 and 5565

1. What is the GCF of 5561 and 5565?

Answer: GCF of 5561 and 5565 is 1.

2. What are the Factors of 5561?

Answer: Factors of 5561 are 1, 67, 83, 5561. There are 4 integers that are factors of 5561. The greatest factor of 5561 is 5561.

3. What are the Factors of 5565?

Answer: Factors of 5565 are 1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855, 5565. There are 16 integers that are factors of 5565. The greatest factor of 5565 is 5565.

4. How to Find the GCF of 5561 and 5565?

Answer:

Greatest Common Factor of 5561 and 5565 = 1

Step 1: Find the prime factorization of 5561

5561 = 67 x 83

Step 2: Find the prime factorization of 5565

5565 = 3 x 5 x 7 x 53

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 5561 and 5565 is 1