Greatest Common Factor of 5210 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 5210, 5217 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5210 and 5217 is 1.

GCF(5210,5217) = 1

GCF of 5210 and 5217

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

GCF of:
and

Greatest Common Factor of 5210 and 5217

GCF of 5210 and 5217 is 1

Prime Factorization of 5210


2 5210
5 2605
521 521
1

Prime factors of 5210 are 2,5,521. Prime factorization of 5210 in exponential form is:

5210 = 21×51×5211

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 5210 and 5217 is 1

Greatest Common Factor of 5210 and 5217 by matching factors method

Factors of 5210

List of positive integer factors of 5210 that divides 5210 without a remainder.

1,2,5,10,521,1042,2605,5210

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 5210 and 5217. The biggest common factor number is the GCF number.
So the greatest common factor 5210 and 5217 is 1.

Also check out the Least Common Multiple of 5210 and 5217

Properties of GCF 5210 and 5217

(i) The GCF of 5210 and 5217 is associative

GCF of 5210 and 5217 = GCF of 5217 and 5210

Related Greatest Common Factor of 5210

Related Greatest Common Factor of 5217

Frequently Asked Questions on GCF of 5210 and 5217

1. What is the GCF of 5210 and 5217?

Answer: GCF of 5210 and 5217 is 1.

2. What are the Factors of 5210?

Answer: Factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210. There are 8 integers that are factors of 5210. The greatest factor of 5210 is 5210.

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 5210 and 5217?

Answer:

Greatest Common Factor of 5210 and 5217 = 1

Step 1: Find the prime factorization of 5210

5210 = 2 x 5 x 521

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 = = 1

Step 4: Therefore, the greatest common factor of 5210 and 5217 is 1