Greatest Common Factor of 8561 and 8564

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 8561, 8564 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8561 and 8564 is 1.

GCF(8561,8564) = 1

GCF of 8561 and 8564

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

GCF of:
and

Greatest Common Factor of 8561 and 8564

GCF of 8561 and 8564 is 1

Prime Factorization of 8561


7 8561
1223 1223
1

Prime factors of 8561 are 7,1223. Prime factorization of 8561 in exponential form is:

8561 = 71×12231

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

∴ So by taking common prime factors GCF of 8561 and 8564 is 1

Greatest Common Factor of 8561 and 8564 by matching factors method

Factors of 8561

List of positive integer factors of 8561 that divides 8561 without a remainder.

1,7,1223,8561

Factors of 8564

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

1,2,4,2141,4282,8564

Greatest Common Factor

We found the factors and prime factorization of 8561 and 8564. The biggest common factor number is the GCF number.
So the greatest common factor 8561 and 8564 is 1.

Also check out the Least Common Multiple of 8561 and 8564

Properties of GCF 8561 and 8564

(i) The GCF of 8561 and 8564 is associative

GCF of 8561 and 8564 = GCF of 8564 and 8561

Related Greatest Common Factor of 8561

Related Greatest Common Factor of 8564

Frequently Asked Questions on GCF of 8561 and 8564

1. What is the GCF of 8561 and 8564?

Answer: GCF of 8561 and 8564 is 1.

2. What are the Factors of 8561?

Answer: Factors of 8561 are 1, 7, 1223, 8561. There are 4 integers that are factors of 8561. The greatest factor of 8561 is 8561.

3. 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.

4. How to Find the GCF of 8561 and 8564?

Answer:

Greatest Common Factor of 8561 and 8564 = 1

Step 1: Find the prime factorization of 8561

8561 = 7 x 1223

Step 2: Find the prime factorization of 8564

8564 = 2 x 2 x 2141

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8561 and 8564 is 1