Greatest Common Factor of 5205 and 5210

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 5205, 5210 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5205 and 5210 is 5.

GCF(5205,5210) = 5

GCF of 5205 and 5210

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

GCF of:
and

Greatest Common Factor of 5205 and 5210

GCF of 5205 and 5210 is 5

Prime Factorization of 5205


3 5205
5 1735
347 347
1

Prime factors of 5205 are 3,5,347. Prime factorization of 5205 in exponential form is:

5205 = 31×51×3471

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

∴ So by taking common prime factors GCF of 5205 and 5210 is 5

Greatest Common Factor of 5205 and 5210 by matching factors method

Factors of 5205

List of positive integer factors of 5205 that divides 5205 without a remainder.

1,3,5,15,347,1041,1735,5205

Factors of 5210

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

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

Greatest Common Factor

We found the factors and prime factorization of 5205 and 5210. The biggest common factor number is the GCF number.
So the greatest common factor 5205 and 5210 is 5.

Also check out the Least Common Multiple of 5205 and 5210

Properties of GCF 5205 and 5210

(i) The GCF of 5205 and 5210 is associative

GCF of 5205 and 5210 = GCF of 5210 and 5205

Related Greatest Common Factor of 5205

Related Greatest Common Factor of 5210

Frequently Asked Questions on GCF of 5205 and 5210

1. What is the GCF of 5205 and 5210?

Answer: GCF of 5205 and 5210 is 5.

2. What are the Factors of 5205?

Answer: Factors of 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205. There are 8 integers that are factors of 5205. The greatest factor of 5205 is 5205.

3. 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.

4. How to Find the GCF of 5205 and 5210?

Answer:

Greatest Common Factor of 5205 and 5210 = 5

Step 1: Find the prime factorization of 5205

5205 = 3 x 5 x 347

Step 2: Find the prime factorization of 5210

5210 = 2 x 5 x 521

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5205 and 5210 is 5