Greatest Common Factor of 5229 and 5235

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 5229, 5235 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5229 and 5235 is 3.

GCF(5229,5235) = 3

GCF of 5229 and 5235

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

GCF of:
and

Greatest Common Factor of 5229 and 5235

GCF of 5229 and 5235 is 3

Prime Factorization of 5229


3 5229
3 1743
7 581
83 83
1

Prime factors of 5229 are 3,7,83. Prime factorization of 5229 in exponential form is:

5229 = 32×71×831

Prime Factorization of 5235


3 5235
5 1745
349 349
1

Prime factors of 5235 are 3,5,349. Prime factorization of 5235 in exponential form is:

5235 = 31×51×3491

∴ So by taking common prime factors GCF of 5229 and 5235 is 3

Greatest Common Factor of 5229 and 5235 by matching factors method

Factors of 5229

List of positive integer factors of 5229 that divides 5229 without a remainder.

1,3,7,9,21,63,83,249,581,747,1743,5229

Factors of 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1,3,5,15,349,1047,1745,5235

Greatest Common Factor

We found the factors and prime factorization of 5229 and 5235. The biggest common factor number is the GCF number.
So the greatest common factor 5229 and 5235 is 3.

Also check out the Least Common Multiple of 5229 and 5235

Properties of GCF 5229 and 5235

(i) The GCF of 5229 and 5235 is associative

GCF of 5229 and 5235 = GCF of 5235 and 5229

Related Greatest Common Factor of 5229

Related Greatest Common Factor of 5235

Frequently Asked Questions on GCF of 5229 and 5235

1. What is the GCF of 5229 and 5235?

Answer: GCF of 5229 and 5235 is 3.

2. What are the Factors of 5229?

Answer: Factors of 5229 are 1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229. There are 12 integers that are factors of 5229. The greatest factor of 5229 is 5229.

3. What are the Factors of 5235?

Answer: Factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235. There are 8 integers that are factors of 5235. The greatest factor of 5235 is 5235.

4. How to Find the GCF of 5229 and 5235?

Answer:

Greatest Common Factor of 5229 and 5235 = 3

Step 1: Find the prime factorization of 5229

5229 = 3 x 3 x 7 x 83

Step 2: Find the prime factorization of 5235

5235 = 3 x 5 x 349

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 5229 and 5235 is 3