Greatest Common Factor of 5258 and 5260

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 5258, 5260 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5258 and 5260 is 2.

GCF(5258,5260) = 2

GCF of 5258 and 5260

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

GCF of:
and

Greatest Common Factor of 5258 and 5260

GCF of 5258 and 5260 is 2

Prime Factorization of 5258


2 5258
11 2629
239 239
1

Prime factors of 5258 are 2,11,239. Prime factorization of 5258 in exponential form is:

5258 = 21×111×2391

Prime Factorization of 5260


2 5260
2 2630
5 1315
263 263
1

Prime factors of 5260 are 2,5,263. Prime factorization of 5260 in exponential form is:

5260 = 22×51×2631

∴ So by taking common prime factors GCF of 5258 and 5260 is 2

Greatest Common Factor of 5258 and 5260 by matching factors method

Factors of 5258

List of positive integer factors of 5258 that divides 5258 without a remainder.

1,2,11,22,239,478,2629,5258

Factors of 5260

List of positive integer factors of 5260 that divides 5260 without a remainder.

1,2,4,5,10,20,263,526,1052,1315,2630,5260

Greatest Common Factor

We found the factors and prime factorization of 5258 and 5260. The biggest common factor number is the GCF number.
So the greatest common factor 5258 and 5260 is 2.

Also check out the Least Common Multiple of 5258 and 5260

Properties of GCF 5258 and 5260

(i) The GCF of 5258 and 5260 is associative

GCF of 5258 and 5260 = GCF of 5260 and 5258

Related Greatest Common Factor of 5258

Related Greatest Common Factor of 5260

Frequently Asked Questions on GCF of 5258 and 5260

1. What is the GCF of 5258 and 5260?

Answer: GCF of 5258 and 5260 is 2.

2. What are the Factors of 5258?

Answer: Factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258. There are 8 integers that are factors of 5258. The greatest factor of 5258 is 5258.

3. What are the Factors of 5260?

Answer: Factors of 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260. There are 12 integers that are factors of 5260. The greatest factor of 5260 is 5260.

4. How to Find the GCF of 5258 and 5260?

Answer:

Greatest Common Factor of 5258 and 5260 = 2

Step 1: Find the prime factorization of 5258

5258 = 2 x 11 x 239

Step 2: Find the prime factorization of 5260

5260 = 2 x 2 x 5 x 263

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5258 and 5260 is 2