Greatest Common Factor of 562 and 570

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

Greatest common factor (GCF) of 562 and 570 is 2.

GCF(562,570) = 2

GCF of 562 and 570

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

GCF of:
and

Greatest Common Factor of 562 and 570

GCF of 562 and 570 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 570


2 570
3 285
5 95
19 19
1

Prime factors of 570 are 2,3,5,19. Prime factorization of 570 in exponential form is:

570 = 21×31×51×191

∴ So by taking common prime factors GCF of 562 and 570 is 2

Greatest Common Factor of 562 and 570 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 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors and prime factorization of 562 and 570. The biggest common factor number is the GCF number.
So the greatest common factor 562 and 570 is 2.

Also check out the Least Common Multiple of 562 and 570

Properties of GCF 562 and 570

(i) The GCF of 562 and 570 is associative

GCF of 562 and 570 = GCF of 570 and 562

Related Greatest Common Factor of 562

Related Greatest Common Factor of 570

Frequently Asked Questions on GCF of 562 and 570

1. What is the GCF of 562 and 570?

Answer: GCF of 562 and 570 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 570?

Answer: Factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570. There are 16 integers that are factors of 570. The greatest factor of 570 is 570.

4. How to Find the GCF of 562 and 570?

Answer:

Greatest Common Factor of 562 and 570 = 2

Step 1: Find the prime factorization of 562

562 = 2 x 281

Step 2: Find the prime factorization of 570

570 = 2 x 3 x 5 x 19

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 570 is 2