Greatest Common Factor of 555 and 560

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 555, 560 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 555 and 560 is 5.

GCF(555,560) = 5

GCF of 555 and 560

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

GCF of:
and

Greatest Common Factor of 555 and 560

GCF of 555 and 560 is 5

Prime Factorization of 555


3 555
5 185
37 37
1

Prime factors of 555 are 3,5,37. Prime factorization of 555 in exponential form is:

555 = 31×51×371

Prime Factorization of 560


2 560
2 280
2 140
2 70
5 35
7 7
1

Prime factors of 560 are 2,5,7. Prime factorization of 560 in exponential form is:

560 = 24×51×71

∴ So by taking common prime factors GCF of 555 and 560 is 5

Greatest Common Factor of 555 and 560 by matching factors method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors and prime factorization of 555 and 560. The biggest common factor number is the GCF number.
So the greatest common factor 555 and 560 is 5.

Also check out the Least Common Multiple of 555 and 560

Properties of GCF 555 and 560

(i) The GCF of 555 and 560 is associative

GCF of 555 and 560 = GCF of 560 and 555

Related Greatest Common Factor of 555

Related Greatest Common Factor of 560

Frequently Asked Questions on GCF of 555 and 560

1. What is the GCF of 555 and 560?

Answer: GCF of 555 and 560 is 5.

2. What are the Factors of 555?

Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.

3. What are the Factors of 560?

Answer: Factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560. There are 20 integers that are factors of 560. The greatest factor of 560 is 560.

4. How to Find the GCF of 555 and 560?

Answer:

Greatest Common Factor of 555 and 560 = 5

Step 1: Find the prime factorization of 555

555 = 3 x 5 x 37

Step 2: Find the prime factorization of 560

560 = 2 x 2 x 2 x 2 x 5 x 7

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 555 and 560 is 5