Greatest Common Factor of 5241 and 5247

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 5241, 5247 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5241 and 5247 is 3.

GCF(5241,5247) = 3

GCF of 5241 and 5247

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

GCF of:
and

Greatest Common Factor of 5241 and 5247

GCF of 5241 and 5247 is 3

Prime Factorization of 5241


3 5241
1747 1747
1

Prime factors of 5241 are 3,1747. Prime factorization of 5241 in exponential form is:

5241 = 31×17471

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

∴ So by taking common prime factors GCF of 5241 and 5247 is 3

Greatest Common Factor of 5241 and 5247 by matching factors method

Factors of 5241

List of positive integer factors of 5241 that divides 5241 without a remainder.

1,3,1747,5241

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

Greatest Common Factor

We found the factors and prime factorization of 5241 and 5247. The biggest common factor number is the GCF number.
So the greatest common factor 5241 and 5247 is 3.

Also check out the Least Common Multiple of 5241 and 5247

Properties of GCF 5241 and 5247

(i) The GCF of 5241 and 5247 is associative

GCF of 5241 and 5247 = GCF of 5247 and 5241

Related Greatest Common Factor of 5241

Related Greatest Common Factor of 5247

Frequently Asked Questions on GCF of 5241 and 5247

1. What is the GCF of 5241 and 5247?

Answer: GCF of 5241 and 5247 is 3.

2. What are the Factors of 5241?

Answer: Factors of 5241 are 1, 3, 1747, 5241. There are 4 integers that are factors of 5241. The greatest factor of 5241 is 5241.

3. 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.

4. How to Find the GCF of 5241 and 5247?

Answer:

Greatest Common Factor of 5241 and 5247 = 3

Step 1: Find the prime factorization of 5241

5241 = 3 x 1747

Step 2: Find the prime factorization of 5247

5247 = 3 x 3 x 11 x 53

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 5241 and 5247 is 3