Greatest Common Factor of 8552 and 8560

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 8552, 8560 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8552 and 8560 is 8.

GCF(8552,8560) = 8

GCF of 8552 and 8560

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

GCF of:
and

Greatest Common Factor of 8552 and 8560

GCF of 8552 and 8560 is 8

Prime Factorization of 8552


2 8552
2 4276
2 2138
1069 1069
1

Prime factors of 8552 are 2,1069. Prime factorization of 8552 in exponential form is:

8552 = 23×10691

Prime Factorization of 8560


2 8560
2 4280
2 2140
2 1070
5 535
107 107
1

Prime factors of 8560 are 2,5,107. Prime factorization of 8560 in exponential form is:

8560 = 24×51×1071

∴ So by taking common prime factors GCF of 8552 and 8560 is 8

Greatest Common Factor of 8552 and 8560 by matching factors method

Factors of 8552

List of positive integer factors of 8552 that divides 8552 without a remainder.

1,2,4,8,1069,2138,4276,8552

Factors of 8560

List of positive integer factors of 8560 that divides 8560 without a remainder.

1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560

Greatest Common Factor

We found the factors and prime factorization of 8552 and 8560. The biggest common factor number is the GCF number.
So the greatest common factor 8552 and 8560 is 8.

Also check out the Least Common Multiple of 8552 and 8560

Properties of GCF 8552 and 8560

(i) The GCF of 8552 and 8560 is associative

GCF of 8552 and 8560 = GCF of 8560 and 8552

Related Greatest Common Factor of 8552

Related Greatest Common Factor of 8560

Frequently Asked Questions on GCF of 8552 and 8560

1. What is the GCF of 8552 and 8560?

Answer: GCF of 8552 and 8560 is 8.

2. What are the Factors of 8552?

Answer: Factors of 8552 are 1, 2, 4, 8, 1069, 2138, 4276, 8552. There are 8 integers that are factors of 8552. The greatest factor of 8552 is 8552.

3. What are the Factors of 8560?

Answer: Factors of 8560 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280, 8560. There are 20 integers that are factors of 8560. The greatest factor of 8560 is 8560.

4. How to Find the GCF of 8552 and 8560?

Answer:

Greatest Common Factor of 8552 and 8560 = 8

Step 1: Find the prime factorization of 8552

8552 = 2 x 2 x 2 x 1069

Step 2: Find the prime factorization of 8560

8560 = 2 x 2 x 2 x 2 x 5 x 107

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8552 and 8560 is 8