Greatest Common Factor of 562 and 568

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 562, 568 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 562 and 568 is 2.

GCF(562,568) = 2

GCF of 562 and 568

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

GCF of:
and

Greatest Common Factor of 562 and 568

GCF of 562 and 568 is 2

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

Prime Factorization of 568


2 568
2 284
2 142
71 71
1

Prime factors of 568 are 2,71. Prime factorization of 568 in exponential form is:

568 = 23×711

∴ So by taking common prime factors GCF of 562 and 568 is 2

Greatest Common Factor of 562 and 568 by matching factors method

Factors of 562

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

1,2,281,562

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors and prime factorization of 562 and 568. The biggest common factor number is the GCF number.
So the greatest common factor 562 and 568 is 2.

Also check out the Least Common Multiple of 562 and 568

Properties of GCF 562 and 568

(i) The GCF of 562 and 568 is associative

GCF of 562 and 568 = GCF of 568 and 562

Related Greatest Common Factor of 562

Related Greatest Common Factor of 568

Frequently Asked Questions on GCF of 562 and 568

1. What is the GCF of 562 and 568?

Answer: GCF of 562 and 568 is 2.

2. 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.

3. What are the Factors of 568?

Answer: Factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568. There are 8 integers that are factors of 568. The greatest factor of 568 is 568.

4. How to Find the GCF of 562 and 568?

Answer:

Greatest Common Factor of 562 and 568 = 2

Step 1: Find the prime factorization of 562

562 = 2 x 281

Step 2: Find the prime factorization of 568

568 = 2 x 2 x 2 x 71

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 562 and 568 is 2