Greatest Common Factor of 560 and 562

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, 562 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 560 and 562 is 2.

GCF(560,562) = 2

GCF of 560 and 562

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

GCF of:
and

Greatest Common Factor of 560 and 562

GCF of 560 and 562 is 2

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 562


2 562
281 281
1

Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:

562 = 21×2811

∴ So by taking common prime factors GCF of 560 and 562 is 2

Greatest Common Factor of 560 and 562 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 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors and prime factorization of 560 and 562. The biggest common factor number is the GCF number.
So the greatest common factor 560 and 562 is 2.

Also check out the Least Common Multiple of 560 and 562

Properties of GCF 560 and 562

(i) The GCF of 560 and 562 is associative

GCF of 560 and 562 = GCF of 562 and 560

Related Greatest Common Factor of 560

Related Greatest Common Factor of 562

Frequently Asked Questions on GCF of 560 and 562

1. What is the GCF of 560 and 562?

Answer: GCF of 560 and 562 is 2.

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 562?

Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.

4. How to Find the GCF of 560 and 562?

Answer:

Greatest Common Factor of 560 and 562 = 2

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 562

562 = 2 x 281

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

GCF = 2

Step 4: Therefore, the greatest common factor of 560 and 562 is 2