Greatest Common Factor of 5247 and 5253

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 5247, 5253 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5247 and 5253 is 3.

GCF(5247,5253) = 3

GCF of 5247 and 5253

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

GCF of:
and

Greatest Common Factor of 5247 and 5253

GCF of 5247 and 5253 is 3

Prime Factorization of 5247


3 5247
3 1749
11 583
53 53
1

Prime factors of 5247 are 3,11,53. Prime factorization of 5247 in exponential form is:

5247 = 32×111×531

Prime Factorization of 5253


3 5253
17 1751
103 103
1

Prime factors of 5253 are 3,17,103. Prime factorization of 5253 in exponential form is:

5253 = 31×171×1031

∴ So by taking common prime factors GCF of 5247 and 5253 is 3

Greatest Common Factor of 5247 and 5253 by matching factors method

Factors of 5247

List of positive integer factors of 5247 that divides 5247 without a remainder.

1,3,9,11,33,53,99,159,477,583,1749,5247

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1,3,17,51,103,309,1751,5253

Greatest Common Factor

We found the factors and prime factorization of 5247 and 5253. The biggest common factor number is the GCF number.
So the greatest common factor 5247 and 5253 is 3.

Also check out the Least Common Multiple of 5247 and 5253

Properties of GCF 5247 and 5253

(i) The GCF of 5247 and 5253 is associative

GCF of 5247 and 5253 = GCF of 5253 and 5247

Related Greatest Common Factor of 5247

Related Greatest Common Factor of 5253

Frequently Asked Questions on GCF of 5247 and 5253

1. What is the GCF of 5247 and 5253?

Answer: GCF of 5247 and 5253 is 3.

2. What are the Factors of 5247?

Answer: Factors of 5247 are 1, 3, 9, 11, 33, 53, 99, 159, 477, 583, 1749, 5247. There are 12 integers that are factors of 5247. The greatest factor of 5247 is 5247.

3. What are the Factors of 5253?

Answer: Factors of 5253 are 1, 3, 17, 51, 103, 309, 1751, 5253. There are 8 integers that are factors of 5253. The greatest factor of 5253 is 5253.

4. How to Find the GCF of 5247 and 5253?

Answer:

Greatest Common Factor of 5247 and 5253 = 3

Step 1: Find the prime factorization of 5247

5247 = 3 x 3 x 11 x 53

Step 2: Find the prime factorization of 5253

5253 = 3 x 17 x 103

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 5247 and 5253 is 3