Greatest Common Factor of 8542 and 8550

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 8542, 8550 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8542 and 8550 is 2.

GCF(8542,8550) = 2

GCF of 8542 and 8550

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

GCF of:
and

Greatest Common Factor of 8542 and 8550

GCF of 8542 and 8550 is 2

Prime Factorization of 8542


2 8542
4271 4271
1

Prime factors of 8542 are 2,4271. Prime factorization of 8542 in exponential form is:

8542 = 21×42711

Prime Factorization of 8550


2 8550
3 4275
3 1425
5 475
5 95
19 19
1

Prime factors of 8550 are 2,3,5,19. Prime factorization of 8550 in exponential form is:

8550 = 21×32×52×191

∴ So by taking common prime factors GCF of 8542 and 8550 is 2

Greatest Common Factor of 8542 and 8550 by matching factors method

Factors of 8542

List of positive integer factors of 8542 that divides 8542 without a remainder.

1,2,4271,8542

Factors of 8550

List of positive integer factors of 8550 that divides 8550 without a remainder.

1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550

Greatest Common Factor

We found the factors and prime factorization of 8542 and 8550. The biggest common factor number is the GCF number.
So the greatest common factor 8542 and 8550 is 2.

Also check out the Least Common Multiple of 8542 and 8550

Properties of GCF 8542 and 8550

(i) The GCF of 8542 and 8550 is associative

GCF of 8542 and 8550 = GCF of 8550 and 8542

Related Greatest Common Factor of 8542

Related Greatest Common Factor of 8550

Frequently Asked Questions on GCF of 8542 and 8550

1. What is the GCF of 8542 and 8550?

Answer: GCF of 8542 and 8550 is 2.

2. What are the Factors of 8542?

Answer: Factors of 8542 are 1, 2, 4271, 8542. There are 4 integers that are factors of 8542. The greatest factor of 8542 is 8542.

3. What are the Factors of 8550?

Answer: Factors of 8550 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275, 8550. There are 36 integers that are factors of 8550. The greatest factor of 8550 is 8550.

4. How to Find the GCF of 8542 and 8550?

Answer:

Greatest Common Factor of 8542 and 8550 = 2

Step 1: Find the prime factorization of 8542

8542 = 2 x 4271

Step 2: Find the prime factorization of 8550

8550 = 2 x 3 x 3 x 5 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 8542 and 8550 is 2