Greatest Common Factor of 5565 and 5570

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 5565, 5570 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5565 and 5570 is 5.

GCF(5565,5570) = 5

GCF of 5565 and 5570

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

GCF of:
and

Greatest Common Factor of 5565 and 5570

GCF of 5565 and 5570 is 5

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

Prime Factorization of 5570


2 5570
5 2785
557 557
1

Prime factors of 5570 are 2,5,557. Prime factorization of 5570 in exponential form is:

5570 = 21×51×5571

∴ So by taking common prime factors GCF of 5565 and 5570 is 5

Greatest Common Factor of 5565 and 5570 by matching factors method

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

Factors of 5570

List of positive integer factors of 5570 that divides 5570 without a remainder.

1,2,5,10,557,1114,2785,5570

Greatest Common Factor

We found the factors and prime factorization of 5565 and 5570. The biggest common factor number is the GCF number.
So the greatest common factor 5565 and 5570 is 5.

Also check out the Least Common Multiple of 5565 and 5570

Properties of GCF 5565 and 5570

(i) The GCF of 5565 and 5570 is associative

GCF of 5565 and 5570 = GCF of 5570 and 5565

Related Greatest Common Factor of 5565

Related Greatest Common Factor of 5570

Frequently Asked Questions on GCF of 5565 and 5570

1. What is the GCF of 5565 and 5570?

Answer: GCF of 5565 and 5570 is 5.

2. 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.

3. What are the Factors of 5570?

Answer: Factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570. There are 8 integers that are factors of 5570. The greatest factor of 5570 is 5570.

4. How to Find the GCF of 5565 and 5570?

Answer:

Greatest Common Factor of 5565 and 5570 = 5

Step 1: Find the prime factorization of 5565

5565 = 3 x 5 x 7 x 53

Step 2: Find the prime factorization of 5570

5570 = 2 x 5 x 557

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5565 and 5570 is 5