Greatest Common Factor of 8534 and 8540

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 8534, 8540 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8534 and 8540 is 2.

GCF(8534,8540) = 2

GCF of 8534 and 8540

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

GCF of:
and

Greatest Common Factor of 8534 and 8540

GCF of 8534 and 8540 is 2

Prime Factorization of 8534


2 8534
17 4267
251 251
1

Prime factors of 8534 are 2,17,251. Prime factorization of 8534 in exponential form is:

8534 = 21×171×2511

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

∴ So by taking common prime factors GCF of 8534 and 8540 is 2

Greatest Common Factor of 8534 and 8540 by matching factors method

Factors of 8534

List of positive integer factors of 8534 that divides 8534 without a remainder.

1,2,17,34,251,502,4267,8534

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

Greatest Common Factor

We found the factors and prime factorization of 8534 and 8540. The biggest common factor number is the GCF number.
So the greatest common factor 8534 and 8540 is 2.

Also check out the Least Common Multiple of 8534 and 8540

Properties of GCF 8534 and 8540

(i) The GCF of 8534 and 8540 is associative

GCF of 8534 and 8540 = GCF of 8540 and 8534

Related Greatest Common Factor of 8534

Related Greatest Common Factor of 8540

Frequently Asked Questions on GCF of 8534 and 8540

1. What is the GCF of 8534 and 8540?

Answer: GCF of 8534 and 8540 is 2.

2. What are the Factors of 8534?

Answer: Factors of 8534 are 1, 2, 17, 34, 251, 502, 4267, 8534. There are 8 integers that are factors of 8534. The greatest factor of 8534 is 8534.

3. 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.

4. How to Find the GCF of 8534 and 8540?

Answer:

Greatest Common Factor of 8534 and 8540 = 2

Step 1: Find the prime factorization of 8534

8534 = 2 x 17 x 251

Step 2: Find the prime factorization of 8540

8540 = 2 x 2 x 5 x 7 x 61

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 8534 and 8540 is 2