Greatest Common Factor of 8528 and 8535

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 8528, 8535 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8528 and 8535 is 1.

GCF(8528,8535) = 1

GCF of 8528 and 8535

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

GCF of:
and

Greatest Common Factor of 8528 and 8535

GCF of 8528 and 8535 is 1

Prime Factorization of 8528


2 8528
2 4264
2 2132
2 1066
13 533
41 41
1

Prime factors of 8528 are 2,13,41. Prime factorization of 8528 in exponential form is:

8528 = 24×131×411

Prime Factorization of 8535


3 8535
5 2845
569 569
1

Prime factors of 8535 are 3,5,569. Prime factorization of 8535 in exponential form is:

8535 = 31×51×5691

∴ So by taking common prime factors GCF of 8528 and 8535 is 1

Greatest Common Factor of 8528 and 8535 by matching factors method

Factors of 8528

List of positive integer factors of 8528 that divides 8528 without a remainder.

1,2,4,8,13,16,26,41,52,82,104,164,208,328,533,656,1066,2132,4264,8528

Factors of 8535

List of positive integer factors of 8535 that divides 8535 without a remainder.

1,3,5,15,569,1707,2845,8535

Greatest Common Factor

We found the factors and prime factorization of 8528 and 8535. The biggest common factor number is the GCF number.
So the greatest common factor 8528 and 8535 is 1.

Also check out the Least Common Multiple of 8528 and 8535

Properties of GCF 8528 and 8535

(i) The GCF of 8528 and 8535 is associative

GCF of 8528 and 8535 = GCF of 8535 and 8528

Related Greatest Common Factor of 8528

Related Greatest Common Factor of 8535

Frequently Asked Questions on GCF of 8528 and 8535

1. What is the GCF of 8528 and 8535?

Answer: GCF of 8528 and 8535 is 1.

2. What are the Factors of 8528?

Answer: Factors of 8528 are 1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528. There are 20 integers that are factors of 8528. The greatest factor of 8528 is 8528.

3. What are the Factors of 8535?

Answer: Factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535. There are 8 integers that are factors of 8535. The greatest factor of 8535 is 8535.

4. How to Find the GCF of 8528 and 8535?

Answer:

Greatest Common Factor of 8528 and 8535 = 1

Step 1: Find the prime factorization of 8528

8528 = 2 x 2 x 2 x 2 x 13 x 41

Step 2: Find the prime factorization of 8535

8535 = 3 x 5 x 569

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 8528 and 8535 is 1