Greatest Common Factor of 8533 and 8534

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 8533, 8534 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8533 and 8534 is 1.

GCF(8533,8534) = 1

GCF of 8533 and 8534

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

GCF of:
and

Greatest Common Factor of 8533 and 8534

GCF of 8533 and 8534 is 1

Prime Factorization of 8533


7 8533
23 1219
53 53
1

Prime factors of 8533 are 7,23,53. Prime factorization of 8533 in exponential form is:

8533 = 71×231×531

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

∴ So by taking common prime factors GCF of 8533 and 8534 is 1

Greatest Common Factor of 8533 and 8534 by matching factors method

Factors of 8533

List of positive integer factors of 8533 that divides 8533 without a remainder.

1,7,23,53,161,371,1219,8533

Factors of 8534

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

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

Greatest Common Factor

We found the factors and prime factorization of 8533 and 8534. The biggest common factor number is the GCF number.
So the greatest common factor 8533 and 8534 is 1.

Also check out the Least Common Multiple of 8533 and 8534

Properties of GCF 8533 and 8534

(i) The GCF of 8533 and 8534 is associative

GCF of 8533 and 8534 = GCF of 8534 and 8533

Frequently Asked Questions on GCF of 8533 and 8534

1. What is the GCF of 8533 and 8534?

Answer: GCF of 8533 and 8534 is 1.

2. What are the Factors of 8533?

Answer: Factors of 8533 are 1, 7, 23, 53, 161, 371, 1219, 8533. There are 8 integers that are factors of 8533. The greatest factor of 8533 is 8533.

3. 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.

4. How to Find the GCF of 8533 and 8534?

Answer:

Greatest Common Factor of 8533 and 8534 = 1

Step 1: Find the prime factorization of 8533

8533 = 7 x 23 x 53

Step 2: Find the prime factorization of 8534

8534 = 2 x 17 x 251

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8533 and 8534 is 1