Greatest Common Factor of 560 and 565

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 560, 565 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 560 and 565 is 5.

GCF(560,565) = 5

GCF of 560 and 565

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

GCF of:
and

Greatest Common Factor of 560 and 565

GCF of 560 and 565 is 5

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

Prime Factorization of 565


5 565
113 113
1

Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:

565 = 51×1131

∴ So by taking common prime factors GCF of 560 and 565 is 5

Greatest Common Factor of 560 and 565 by matching factors method

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

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors and prime factorization of 560 and 565. The biggest common factor number is the GCF number.
So the greatest common factor 560 and 565 is 5.

Also check out the Least Common Multiple of 560 and 565

Properties of GCF 560 and 565

(i) The GCF of 560 and 565 is associative

GCF of 560 and 565 = GCF of 565 and 560

Related Greatest Common Factor of 560

Related Greatest Common Factor of 565

Frequently Asked Questions on GCF of 560 and 565

1. What is the GCF of 560 and 565?

Answer: GCF of 560 and 565 is 5.

2. 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.

3. What are the Factors of 565?

Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.

4. How to Find the GCF of 560 and 565?

Answer:

Greatest Common Factor of 560 and 565 = 5

Step 1: Find the prime factorization of 560

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

Step 2: Find the prime factorization of 565

565 = 5 x 113

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 560 and 565 is 5