Greatest Common Factor of 5264 and 5270

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 5264, 5270 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5264 and 5270 is 2.

GCF(5264,5270) = 2

GCF of 5264 and 5270

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

GCF of:
and

Greatest Common Factor of 5264 and 5270

GCF of 5264 and 5270 is 2

Prime Factorization of 5264


2 5264
2 2632
2 1316
2 658
7 329
47 47
1

Prime factors of 5264 are 2,7,47. Prime factorization of 5264 in exponential form is:

5264 = 24×71×471

Prime Factorization of 5270


2 5270
5 2635
17 527
31 31
1

Prime factors of 5270 are 2,5,17,31. Prime factorization of 5270 in exponential form is:

5270 = 21×51×171×311

∴ So by taking common prime factors GCF of 5264 and 5270 is 2

Greatest Common Factor of 5264 and 5270 by matching factors method

Factors of 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264

Factors of 5270

List of positive integer factors of 5270 that divides 5270 without a remainder.

1,2,5,10,17,31,34,62,85,155,170,310,527,1054,2635,5270

Greatest Common Factor

We found the factors and prime factorization of 5264 and 5270. The biggest common factor number is the GCF number.
So the greatest common factor 5264 and 5270 is 2.

Also check out the Least Common Multiple of 5264 and 5270

Properties of GCF 5264 and 5270

(i) The GCF of 5264 and 5270 is associative

GCF of 5264 and 5270 = GCF of 5270 and 5264

Related Greatest Common Factor of 5264

Related Greatest Common Factor of 5270

Frequently Asked Questions on GCF of 5264 and 5270

1. What is the GCF of 5264 and 5270?

Answer: GCF of 5264 and 5270 is 2.

2. What are the Factors of 5264?

Answer: Factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264. There are 20 integers that are factors of 5264. The greatest factor of 5264 is 5264.

3. What are the Factors of 5270?

Answer: Factors of 5270 are 1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270. There are 16 integers that are factors of 5270. The greatest factor of 5270 is 5270.

4. How to Find the GCF of 5264 and 5270?

Answer:

Greatest Common Factor of 5264 and 5270 = 2

Step 1: Find the prime factorization of 5264

5264 = 2 x 2 x 2 x 2 x 7 x 47

Step 2: Find the prime factorization of 5270

5270 = 2 x 5 x 17 x 31

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 5264 and 5270 is 2