Greatest Common Factor of 5236 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 5236, 5244 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5236 and 5244 is 4.

GCF(5236,5244) = 4

GCF of 5236 and 5244

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

GCF of:
and

Greatest Common Factor of 5236 and 5244

GCF of 5236 and 5244 is 4

Prime Factorization of 5236


2 5236
2 2618
7 1309
11 187
17 17
1

Prime factors of 5236 are 2,7,11,17. Prime factorization of 5236 in exponential form is:

5236 = 22×71×111×171

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 5236 and 5244 is 4

Greatest Common Factor of 5236 and 5244 by matching factors method

Factors of 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236

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 5236 and 5244. The biggest common factor number is the GCF number.
So the greatest common factor 5236 and 5244 is 4.

Also check out the Least Common Multiple of 5236 and 5244

Properties of GCF 5236 and 5244

(i) The GCF of 5236 and 5244 is associative

GCF of 5236 and 5244 = GCF of 5244 and 5236

Related Greatest Common Factor of 5236

Related Greatest Common Factor of 5244

Frequently Asked Questions on GCF of 5236 and 5244

1. What is the GCF of 5236 and 5244?

Answer: GCF of 5236 and 5244 is 4.

2. What are the Factors of 5236?

Answer: Factors of 5236 are 1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236. There are 24 integers that are factors of 5236. The greatest factor of 5236 is 5236.

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 5236 and 5244?

Answer:

Greatest Common Factor of 5236 and 5244 = 4

Step 1: Find the prime factorization of 5236

5236 = 2 x 2 x 7 x 11 x 17

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 2 = 4

Step 4: Therefore, the greatest common factor of 5236 and 5244 is 4