Greatest Common Factor of 8253 and 8259

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 8253, 8259 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8253 and 8259 is 3.

GCF(8253,8259) = 3

GCF of 8253 and 8259

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

GCF of:
and

Greatest Common Factor of 8253 and 8259

GCF of 8253 and 8259 is 3

Prime Factorization of 8253


3 8253
3 2751
7 917
131 131
1

Prime factors of 8253 are 3,7,131. Prime factorization of 8253 in exponential form is:

8253 = 32×71×1311

Prime Factorization of 8259


3 8259
2753 2753
1

Prime factors of 8259 are 3,2753. Prime factorization of 8259 in exponential form is:

8259 = 31×27531

∴ So by taking common prime factors GCF of 8253 and 8259 is 3

Greatest Common Factor of 8253 and 8259 by matching factors method

Factors of 8253

List of positive integer factors of 8253 that divides 8253 without a remainder.

1,3,7,9,21,63,131,393,917,1179,2751,8253

Factors of 8259

List of positive integer factors of 8259 that divides 8259 without a remainder.

1,3,2753,8259

Greatest Common Factor

We found the factors and prime factorization of 8253 and 8259. The biggest common factor number is the GCF number.
So the greatest common factor 8253 and 8259 is 3.

Also check out the Least Common Multiple of 8253 and 8259

Properties of GCF 8253 and 8259

(i) The GCF of 8253 and 8259 is associative

GCF of 8253 and 8259 = GCF of 8259 and 8253

Related Greatest Common Factor of 8253

Related Greatest Common Factor of 8259

Frequently Asked Questions on GCF of 8253 and 8259

1. What is the GCF of 8253 and 8259?

Answer: GCF of 8253 and 8259 is 3.

2. What are the Factors of 8253?

Answer: Factors of 8253 are 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253. There are 12 integers that are factors of 8253. The greatest factor of 8253 is 8253.

3. What are the Factors of 8259?

Answer: Factors of 8259 are 1, 3, 2753, 8259. There are 4 integers that are factors of 8259. The greatest factor of 8259 is 8259.

4. How to Find the GCF of 8253 and 8259?

Answer:

Greatest Common Factor of 8253 and 8259 = 3

Step 1: Find the prime factorization of 8253

8253 = 3 x 3 x 7 x 131

Step 2: Find the prime factorization of 8259

8259 = 3 x 2753

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8253 and 8259 is 3