Greatest Common Factor of 8564 and 8570

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 8564, 8570 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8564 and 8570 is 2.

GCF(8564,8570) = 2

GCF of 8564 and 8570

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

GCF of:
and

Greatest Common Factor of 8564 and 8570

GCF of 8564 and 8570 is 2

Prime Factorization of 8564


2 8564
2 4282
2141 2141
1

Prime factors of 8564 are 2,2141. Prime factorization of 8564 in exponential form is:

8564 = 22×21411

Prime Factorization of 8570


2 8570
5 4285
857 857
1

Prime factors of 8570 are 2,5,857. Prime factorization of 8570 in exponential form is:

8570 = 21×51×8571

∴ So by taking common prime factors GCF of 8564 and 8570 is 2

Greatest Common Factor of 8564 and 8570 by matching factors method

Factors of 8564

List of positive integer factors of 8564 that divides 8564 without a remainder.

1,2,4,2141,4282,8564

Factors of 8570

List of positive integer factors of 8570 that divides 8570 without a remainder.

1,2,5,10,857,1714,4285,8570

Greatest Common Factor

We found the factors and prime factorization of 8564 and 8570. The biggest common factor number is the GCF number.
So the greatest common factor 8564 and 8570 is 2.

Also check out the Least Common Multiple of 8564 and 8570

Properties of GCF 8564 and 8570

(i) The GCF of 8564 and 8570 is associative

GCF of 8564 and 8570 = GCF of 8570 and 8564

Related Greatest Common Factor of 8564

Related Greatest Common Factor of 8570

Frequently Asked Questions on GCF of 8564 and 8570

1. What is the GCF of 8564 and 8570?

Answer: GCF of 8564 and 8570 is 2.

2. What are the Factors of 8564?

Answer: Factors of 8564 are 1, 2, 4, 2141, 4282, 8564. There are 6 integers that are factors of 8564. The greatest factor of 8564 is 8564.

3. What are the Factors of 8570?

Answer: Factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570. There are 8 integers that are factors of 8570. The greatest factor of 8570 is 8570.

4. How to Find the GCF of 8564 and 8570?

Answer:

Greatest Common Factor of 8564 and 8570 = 2

Step 1: Find the prime factorization of 8564

8564 = 2 x 2 x 2141

Step 2: Find the prime factorization of 8570

8570 = 2 x 5 x 857

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 8564 and 8570 is 2