Greatest Common Factor of 8546 and 8552

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 8546, 8552 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8546 and 8552 is 2.

GCF(8546,8552) = 2

GCF of 8546 and 8552

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

GCF of:
and

Greatest Common Factor of 8546 and 8552

GCF of 8546 and 8552 is 2

Prime Factorization of 8546


2 8546
4273 4273
1

Prime factors of 8546 are 2,4273. Prime factorization of 8546 in exponential form is:

8546 = 21×42731

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

∴ So by taking common prime factors GCF of 8546 and 8552 is 2

Greatest Common Factor of 8546 and 8552 by matching factors method

Factors of 8546

List of positive integer factors of 8546 that divides 8546 without a remainder.

1,2,4273,8546

Factors of 8552

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

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

Greatest Common Factor

We found the factors and prime factorization of 8546 and 8552. The biggest common factor number is the GCF number.
So the greatest common factor 8546 and 8552 is 2.

Also check out the Least Common Multiple of 8546 and 8552

Properties of GCF 8546 and 8552

(i) The GCF of 8546 and 8552 is associative

GCF of 8546 and 8552 = GCF of 8552 and 8546

Related Greatest Common Factor of 8546

Related Greatest Common Factor of 8552

Frequently Asked Questions on GCF of 8546 and 8552

1. What is the GCF of 8546 and 8552?

Answer: GCF of 8546 and 8552 is 2.

2. What are the Factors of 8546?

Answer: Factors of 8546 are 1, 2, 4273, 8546. There are 4 integers that are factors of 8546. The greatest factor of 8546 is 8546.

3. 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.

4. How to Find the GCF of 8546 and 8552?

Answer:

Greatest Common Factor of 8546 and 8552 = 2

Step 1: Find the prime factorization of 8546

8546 = 2 x 4273

Step 2: Find the prime factorization of 8552

8552 = 2 x 2 x 2 x 1069

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 8546 and 8552 is 2