Greatest Common Factor of 8528 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 8528, 8534 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8528 and 8534 is 2.

GCF(8528,8534) = 2

GCF of 8528 and 8534

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

GCF of:
and

Greatest Common Factor of 8528 and 8534

GCF of 8528 and 8534 is 2

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 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 8528 and 8534 is 2

Greatest Common Factor of 8528 and 8534 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 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 8528 and 8534. The biggest common factor number is the GCF number.
So the greatest common factor 8528 and 8534 is 2.

Also check out the Least Common Multiple of 8528 and 8534

Properties of GCF 8528 and 8534

(i) The GCF of 8528 and 8534 is associative

GCF of 8528 and 8534 = GCF of 8534 and 8528

Related Greatest Common Factor of 8528

Related Greatest Common Factor of 8534

Frequently Asked Questions on GCF of 8528 and 8534

1. What is the GCF of 8528 and 8534?

Answer: GCF of 8528 and 8534 is 2.

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 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 8528 and 8534?

Answer:

Greatest Common Factor of 8528 and 8534 = 2

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 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 = 2

Step 4: Therefore, the greatest common factor of 8528 and 8534 is 2