Greatest Common Factor of 5254 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 5254, 5260 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5254 and 5260 is 2.

GCF(5254,5260) = 2

GCF of 5254 and 5260

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

GCF of:
and

Greatest Common Factor of 5254 and 5260

GCF of 5254 and 5260 is 2

Prime Factorization of 5254


2 5254
37 2627
71 71
1

Prime factors of 5254 are 2,37,71. Prime factorization of 5254 in exponential form is:

5254 = 21×371×711

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 5254 and 5260 is 2

Greatest Common Factor of 5254 and 5260 by matching factors method

Factors of 5254

List of positive integer factors of 5254 that divides 5254 without a remainder.

1,2,37,71,74,142,2627,5254

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 5254 and 5260. The biggest common factor number is the GCF number.
So the greatest common factor 5254 and 5260 is 2.

Also check out the Least Common Multiple of 5254 and 5260

Properties of GCF 5254 and 5260

(i) The GCF of 5254 and 5260 is associative

GCF of 5254 and 5260 = GCF of 5260 and 5254

Related Greatest Common Factor of 5254

Related Greatest Common Factor of 5260

Frequently Asked Questions on GCF of 5254 and 5260

1. What is the GCF of 5254 and 5260?

Answer: GCF of 5254 and 5260 is 2.

2. What are the Factors of 5254?

Answer: Factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254. There are 8 integers that are factors of 5254. The greatest factor of 5254 is 5254.

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 5254 and 5260?

Answer:

Greatest Common Factor of 5254 and 5260 = 2

Step 1: Find the prime factorization of 5254

5254 = 2 x 37 x 71

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 5254 and 5260 is 2