Greatest Common Factor of 5244 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 5244, 5247 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5244 and 5247 is 3.

GCF(5244,5247) = 3

GCF of 5244 and 5247

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

GCF of:
and

Greatest Common Factor of 5244 and 5247

GCF of 5244 and 5247 is 3

Prime Factorization of 5244


2 5244
2 2622
3 1311
19 437
23 23
1

Prime factors of 5244 are 2,3,19,23. Prime factorization of 5244 in exponential form is:

5244 = 22×31×191×231

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 5244 and 5247 is 3

Greatest Common Factor of 5244 and 5247 by matching factors method

Factors of 5244

List of positive integer factors of 5244 that divides 5244 without a remainder.

1,2,3,4,6,12,19,23,38,46,57,69,76,92,114,138,228,276,437,874,1311,1748,2622,5244

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 5244 and 5247. The biggest common factor number is the GCF number.
So the greatest common factor 5244 and 5247 is 3.

Also check out the Least Common Multiple of 5244 and 5247

Properties of GCF 5244 and 5247

(i) The GCF of 5244 and 5247 is associative

GCF of 5244 and 5247 = GCF of 5247 and 5244

Related Greatest Common Factor of 5244

Related Greatest Common Factor of 5247

Frequently Asked Questions on GCF of 5244 and 5247

1. What is the GCF of 5244 and 5247?

Answer: GCF of 5244 and 5247 is 3.

2. What are the Factors of 5244?

Answer: Factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244. There are 24 integers that are factors of 5244. The greatest factor of 5244 is 5244.

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 5244 and 5247?

Answer:

Greatest Common Factor of 5244 and 5247 = 3

Step 1: Find the prime factorization of 5244

5244 = 2 x 2 x 3 x 19 x 23

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 5244 and 5247 is 3