Greatest Common Factor of 8530 and 8536

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 8530, 8536 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8530 and 8536 is 2.

GCF(8530,8536) = 2

GCF of 8530 and 8536

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

GCF of:
and

Greatest Common Factor of 8530 and 8536

GCF of 8530 and 8536 is 2

Prime Factorization of 8530


2 8530
5 4265
853 853
1

Prime factors of 8530 are 2,5,853. Prime factorization of 8530 in exponential form is:

8530 = 21×51×8531

Prime Factorization of 8536


2 8536
2 4268
2 2134
11 1067
97 97
1

Prime factors of 8536 are 2,11,97. Prime factorization of 8536 in exponential form is:

8536 = 23×111×971

∴ So by taking common prime factors GCF of 8530 and 8536 is 2

Greatest Common Factor of 8530 and 8536 by matching factors method

Factors of 8530

List of positive integer factors of 8530 that divides 8530 without a remainder.

1,2,5,10,853,1706,4265,8530

Factors of 8536

List of positive integer factors of 8536 that divides 8536 without a remainder.

1,2,4,8,11,22,44,88,97,194,388,776,1067,2134,4268,8536

Greatest Common Factor

We found the factors and prime factorization of 8530 and 8536. The biggest common factor number is the GCF number.
So the greatest common factor 8530 and 8536 is 2.

Also check out the Least Common Multiple of 8530 and 8536

Properties of GCF 8530 and 8536

(i) The GCF of 8530 and 8536 is associative

GCF of 8530 and 8536 = GCF of 8536 and 8530

Related Greatest Common Factor of 8530

Related Greatest Common Factor of 8536

Frequently Asked Questions on GCF of 8530 and 8536

1. What is the GCF of 8530 and 8536?

Answer: GCF of 8530 and 8536 is 2.

2. What are the Factors of 8530?

Answer: Factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530. There are 8 integers that are factors of 8530. The greatest factor of 8530 is 8530.

3. What are the Factors of 8536?

Answer: Factors of 8536 are 1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268, 8536. There are 16 integers that are factors of 8536. The greatest factor of 8536 is 8536.

4. How to Find the GCF of 8530 and 8536?

Answer:

Greatest Common Factor of 8530 and 8536 = 2

Step 1: Find the prime factorization of 8530

8530 = 2 x 5 x 853

Step 2: Find the prime factorization of 8536

8536 = 2 x 2 x 2 x 11 x 97

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 8530 and 8536 is 2