Greatest Common Factor of 5238 and 5244

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 5238, 5244 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5238 and 5244 is 6.

GCF(5238,5244) = 6

GCF of 5238 and 5244

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

GCF of:
and

Greatest Common Factor of 5238 and 5244

GCF of 5238 and 5244 is 6

Prime Factorization of 5238


2 5238
3 2619
3 873
3 291
97 97
1

Prime factors of 5238 are 2,3,97. Prime factorization of 5238 in exponential form is:

5238 = 21×33×971

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

∴ So by taking common prime factors GCF of 5238 and 5244 is 6

Greatest Common Factor of 5238 and 5244 by matching factors method

Factors of 5238

List of positive integer factors of 5238 that divides 5238 without a remainder.

1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238

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

Greatest Common Factor

We found the factors and prime factorization of 5238 and 5244. The biggest common factor number is the GCF number.
So the greatest common factor 5238 and 5244 is 6.

Also check out the Least Common Multiple of 5238 and 5244

Properties of GCF 5238 and 5244

(i) The GCF of 5238 and 5244 is associative

GCF of 5238 and 5244 = GCF of 5244 and 5238

Related Greatest Common Factor of 5238

Related Greatest Common Factor of 5244

Frequently Asked Questions on GCF of 5238 and 5244

1. What is the GCF of 5238 and 5244?

Answer: GCF of 5238 and 5244 is 6.

2. What are the Factors of 5238?

Answer: Factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238. There are 16 integers that are factors of 5238. The greatest factor of 5238 is 5238.

3. 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.

4. How to Find the GCF of 5238 and 5244?

Answer:

Greatest Common Factor of 5238 and 5244 = 6

Step 1: Find the prime factorization of 5238

5238 = 2 x 3 x 3 x 3 x 97

Step 2: Find the prime factorization of 5244

5244 = 2 x 2 x 3 x 19 x 23

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5238 and 5244 is 6