Greatest Common Factor of 5211 and 5217

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 5211, 5217 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5211 and 5217 is 3.

GCF(5211,5217) = 3

GCF of 5211 and 5217

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

GCF of:
and

Greatest Common Factor of 5211 and 5217

GCF of 5211 and 5217 is 3

Prime Factorization of 5211


3 5211
3 1737
3 579
193 193
1

Prime factors of 5211 are 3,193. Prime factorization of 5211 in exponential form is:

5211 = 33×1931

Prime Factorization of 5217


3 5217
37 1739
47 47
1

Prime factors of 5217 are 3,37,47. Prime factorization of 5217 in exponential form is:

5217 = 31×371×471

∴ So by taking common prime factors GCF of 5211 and 5217 is 3

Greatest Common Factor of 5211 and 5217 by matching factors method

Factors of 5211

List of positive integer factors of 5211 that divides 5211 without a remainder.

1,3,9,27,193,579,1737,5211

Factors of 5217

List of positive integer factors of 5217 that divides 5217 without a remainder.

1,3,37,47,111,141,1739,5217

Greatest Common Factor

We found the factors and prime factorization of 5211 and 5217. The biggest common factor number is the GCF number.
So the greatest common factor 5211 and 5217 is 3.

Also check out the Least Common Multiple of 5211 and 5217

Properties of GCF 5211 and 5217

(i) The GCF of 5211 and 5217 is associative

GCF of 5211 and 5217 = GCF of 5217 and 5211

Related Greatest Common Factor of 5211

Related Greatest Common Factor of 5217

Frequently Asked Questions on GCF of 5211 and 5217

1. What is the GCF of 5211 and 5217?

Answer: GCF of 5211 and 5217 is 3.

2. What are the Factors of 5211?

Answer: Factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211. There are 8 integers that are factors of 5211. The greatest factor of 5211 is 5211.

3. What are the Factors of 5217?

Answer: Factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217. There are 8 integers that are factors of 5217. The greatest factor of 5217 is 5217.

4. How to Find the GCF of 5211 and 5217?

Answer:

Greatest Common Factor of 5211 and 5217 = 3

Step 1: Find the prime factorization of 5211

5211 = 3 x 3 x 3 x 193

Step 2: Find the prime factorization of 5217

5217 = 3 x 37 x 47

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 5211 and 5217 is 3