Greatest Common Factor of 5222 and 5229

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 5222, 5229 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5222 and 5229 is 7.

GCF(5222,5229) = 7

GCF of 5222 and 5229

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

GCF of:
and

Greatest Common Factor of 5222 and 5229

GCF of 5222 and 5229 is 7

Prime Factorization of 5222


2 5222
7 2611
373 373
1

Prime factors of 5222 are 2,7,373. Prime factorization of 5222 in exponential form is:

5222 = 21×71×3731

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

∴ So by taking common prime factors GCF of 5222 and 5229 is 7

Greatest Common Factor of 5222 and 5229 by matching factors method

Factors of 5222

List of positive integer factors of 5222 that divides 5222 without a remainder.

1,2,7,14,373,746,2611,5222

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

Greatest Common Factor

We found the factors and prime factorization of 5222 and 5229. The biggest common factor number is the GCF number.
So the greatest common factor 5222 and 5229 is 7.

Also check out the Least Common Multiple of 5222 and 5229

Properties of GCF 5222 and 5229

(i) The GCF of 5222 and 5229 is associative

GCF of 5222 and 5229 = GCF of 5229 and 5222

Related Greatest Common Factor of 5222

Related Greatest Common Factor of 5229

Frequently Asked Questions on GCF of 5222 and 5229

1. What is the GCF of 5222 and 5229?

Answer: GCF of 5222 and 5229 is 7.

2. What are the Factors of 5222?

Answer: Factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222. There are 8 integers that are factors of 5222. The greatest factor of 5222 is 5222.

3. 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.

4. How to Find the GCF of 5222 and 5229?

Answer:

Greatest Common Factor of 5222 and 5229 = 7

Step 1: Find the prime factorization of 5222

5222 = 2 x 7 x 373

Step 2: Find the prime factorization of 5229

5229 = 3 x 3 x 7 x 83

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5222 and 5229 is 7