Greatest Common Factor of 5290 and 5295

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 5290, 5295 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5290 and 5295 is 5.

GCF(5290,5295) = 5

GCF of 5290 and 5295

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

GCF of:
and

Greatest Common Factor of 5290 and 5295

GCF of 5290 and 5295 is 5

Prime Factorization of 5290


2 5290
5 2645
23 529
23 23
1

Prime factors of 5290 are 2,5,23. Prime factorization of 5290 in exponential form is:

5290 = 21×51×232

Prime Factorization of 5295


3 5295
5 1765
353 353
1

Prime factors of 5295 are 3,5,353. Prime factorization of 5295 in exponential form is:

5295 = 31×51×3531

∴ So by taking common prime factors GCF of 5290 and 5295 is 5

Greatest Common Factor of 5290 and 5295 by matching factors method

Factors of 5290

List of positive integer factors of 5290 that divides 5290 without a remainder.

1,2,5,10,23,46,115,230,529,1058,2645,5290

Factors of 5295

List of positive integer factors of 5295 that divides 5295 without a remainder.

1,3,5,15,353,1059,1765,5295

Greatest Common Factor

We found the factors and prime factorization of 5290 and 5295. The biggest common factor number is the GCF number.
So the greatest common factor 5290 and 5295 is 5.

Also check out the Least Common Multiple of 5290 and 5295

Properties of GCF 5290 and 5295

(i) The GCF of 5290 and 5295 is associative

GCF of 5290 and 5295 = GCF of 5295 and 5290

Related Greatest Common Factor of 5290

Related Greatest Common Factor of 5295

Frequently Asked Questions on GCF of 5290 and 5295

1. What is the GCF of 5290 and 5295?

Answer: GCF of 5290 and 5295 is 5.

2. What are the Factors of 5290?

Answer: Factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290. There are 12 integers that are factors of 5290. The greatest factor of 5290 is 5290.

3. What are the Factors of 5295?

Answer: Factors of 5295 are 1, 3, 5, 15, 353, 1059, 1765, 5295. There are 8 integers that are factors of 5295. The greatest factor of 5295 is 5295.

4. How to Find the GCF of 5290 and 5295?

Answer:

Greatest Common Factor of 5290 and 5295 = 5

Step 1: Find the prime factorization of 5290

5290 = 2 x 5 x 23 x 23

Step 2: Find the prime factorization of 5295

5295 = 3 x 5 x 353

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 5290 and 5295 is 5