Greatest Common Factor of 5228 and 5236

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 5228, 5236 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5228 and 5236 is 4.

GCF(5228,5236) = 4

GCF of 5228 and 5236

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

GCF of:
and

Greatest Common Factor of 5228 and 5236

GCF of 5228 and 5236 is 4

Prime Factorization of 5228


2 5228
2 2614
1307 1307
1

Prime factors of 5228 are 2,1307. Prime factorization of 5228 in exponential form is:

5228 = 22×13071

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

∴ So by taking common prime factors GCF of 5228 and 5236 is 4

Greatest Common Factor of 5228 and 5236 by matching factors method

Factors of 5228

List of positive integer factors of 5228 that divides 5228 without a remainder.

1,2,4,1307,2614,5228

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

Greatest Common Factor

We found the factors and prime factorization of 5228 and 5236. The biggest common factor number is the GCF number.
So the greatest common factor 5228 and 5236 is 4.

Also check out the Least Common Multiple of 5228 and 5236

Properties of GCF 5228 and 5236

(i) The GCF of 5228 and 5236 is associative

GCF of 5228 and 5236 = GCF of 5236 and 5228

Related Greatest Common Factor of 5228

Related Greatest Common Factor of 5236

Frequently Asked Questions on GCF of 5228 and 5236

1. What is the GCF of 5228 and 5236?

Answer: GCF of 5228 and 5236 is 4.

2. What are the Factors of 5228?

Answer: Factors of 5228 are 1, 2, 4, 1307, 2614, 5228. There are 6 integers that are factors of 5228. The greatest factor of 5228 is 5228.

3. 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.

4. How to Find the GCF of 5228 and 5236?

Answer:

Greatest Common Factor of 5228 and 5236 = 4

Step 1: Find the prime factorization of 5228

5228 = 2 x 2 x 1307

Step 2: Find the prime factorization of 5236

5236 = 2 x 2 x 7 x 11 x 17

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 5228 and 5236 is 4