Greatest Common Factor of 5296 and 5302

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 5296, 5302 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5296 and 5302 is 2.

GCF(5296,5302) = 2

GCF of 5296 and 5302

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

GCF of:
and

Greatest Common Factor of 5296 and 5302

GCF of 5296 and 5302 is 2

Prime Factorization of 5296


2 5296
2 2648
2 1324
2 662
331 331
1

Prime factors of 5296 are 2,331. Prime factorization of 5296 in exponential form is:

5296 = 24×3311

Prime Factorization of 5302


2 5302
11 2651
241 241
1

Prime factors of 5302 are 2,11,241. Prime factorization of 5302 in exponential form is:

5302 = 21×111×2411

∴ So by taking common prime factors GCF of 5296 and 5302 is 2

Greatest Common Factor of 5296 and 5302 by matching factors method

Factors of 5296

List of positive integer factors of 5296 that divides 5296 without a remainder.

1,2,4,8,16,331,662,1324,2648,5296

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1,2,11,22,241,482,2651,5302

Greatest Common Factor

We found the factors and prime factorization of 5296 and 5302. The biggest common factor number is the GCF number.
So the greatest common factor 5296 and 5302 is 2.

Also check out the Least Common Multiple of 5296 and 5302

Properties of GCF 5296 and 5302

(i) The GCF of 5296 and 5302 is associative

GCF of 5296 and 5302 = GCF of 5302 and 5296

Related Greatest Common Factor of 5296

Related Greatest Common Factor of 5302

Frequently Asked Questions on GCF of 5296 and 5302

1. What is the GCF of 5296 and 5302?

Answer: GCF of 5296 and 5302 is 2.

2. What are the Factors of 5296?

Answer: Factors of 5296 are 1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296. There are 10 integers that are factors of 5296. The greatest factor of 5296 is 5296.

3. What are the Factors of 5302?

Answer: Factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302. There are 8 integers that are factors of 5302. The greatest factor of 5302 is 5302.

4. How to Find the GCF of 5296 and 5302?

Answer:

Greatest Common Factor of 5296 and 5302 = 2

Step 1: Find the prime factorization of 5296

5296 = 2 x 2 x 2 x 2 x 331

Step 2: Find the prime factorization of 5302

5302 = 2 x 11 x 241

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 5296 and 5302 is 2