Greatest Common Factor of 8540 and 8542

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 8540, 8542 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8540 and 8542 is 2.

GCF(8540,8542) = 2

GCF of 8540 and 8542

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

GCF of:
and

Greatest Common Factor of 8540 and 8542

GCF of 8540 and 8542 is 2

Prime Factorization of 8540


2 8540
2 4270
5 2135
7 427
61 61
1

Prime factors of 8540 are 2,5,7,61. Prime factorization of 8540 in exponential form is:

8540 = 22×51×71×611

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

∴ So by taking common prime factors GCF of 8540 and 8542 is 2

Greatest Common Factor of 8540 and 8542 by matching factors method

Factors of 8540

List of positive integer factors of 8540 that divides 8540 without a remainder.

1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540

Factors of 8542

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

1,2,4271,8542

Greatest Common Factor

We found the factors and prime factorization of 8540 and 8542. The biggest common factor number is the GCF number.
So the greatest common factor 8540 and 8542 is 2.

Also check out the Least Common Multiple of 8540 and 8542

Properties of GCF 8540 and 8542

(i) The GCF of 8540 and 8542 is associative

GCF of 8540 and 8542 = GCF of 8542 and 8540

Related Greatest Common Factor of 8540

Related Greatest Common Factor of 8542

Frequently Asked Questions on GCF of 8540 and 8542

1. What is the GCF of 8540 and 8542?

Answer: GCF of 8540 and 8542 is 2.

2. What are the Factors of 8540?

Answer: Factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540. There are 24 integers that are factors of 8540. The greatest factor of 8540 is 8540.

3. 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.

4. How to Find the GCF of 8540 and 8542?

Answer:

Greatest Common Factor of 8540 and 8542 = 2

Step 1: Find the prime factorization of 8540

8540 = 2 x 2 x 5 x 7 x 61

Step 2: Find the prime factorization of 8542

8542 = 2 x 4271

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 8540 and 8542 is 2