Greatest Common Factor of 8256 and 8260

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 8256, 8260 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8256 and 8260 is 4.

GCF(8256,8260) = 4

GCF of 8256 and 8260

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

GCF of:
and

Greatest Common Factor of 8256 and 8260

GCF of 8256 and 8260 is 4

Prime Factorization of 8256


2 8256
2 4128
2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 8256 are 2,3,43. Prime factorization of 8256 in exponential form is:

8256 = 26×31×431

Prime Factorization of 8260


2 8260
2 4130
5 2065
7 413
59 59
1

Prime factors of 8260 are 2,5,7,59. Prime factorization of 8260 in exponential form is:

8260 = 22×51×71×591

∴ So by taking common prime factors GCF of 8256 and 8260 is 4

Greatest Common Factor of 8256 and 8260 by matching factors method

Factors of 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256

Factors of 8260

List of positive integer factors of 8260 that divides 8260 without a remainder.

1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260

Greatest Common Factor

We found the factors and prime factorization of 8256 and 8260. The biggest common factor number is the GCF number.
So the greatest common factor 8256 and 8260 is 4.

Also check out the Least Common Multiple of 8256 and 8260

Properties of GCF 8256 and 8260

(i) The GCF of 8256 and 8260 is associative

GCF of 8256 and 8260 = GCF of 8260 and 8256

Related Greatest Common Factor of 8256

Related Greatest Common Factor of 8260

Frequently Asked Questions on GCF of 8256 and 8260

1. What is the GCF of 8256 and 8260?

Answer: GCF of 8256 and 8260 is 4.

2. What are the Factors of 8256?

Answer: Factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256. There are 28 integers that are factors of 8256. The greatest factor of 8256 is 8256.

3. What are the Factors of 8260?

Answer: Factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260. There are 24 integers that are factors of 8260. The greatest factor of 8260 is 8260.

4. How to Find the GCF of 8256 and 8260?

Answer:

Greatest Common Factor of 8256 and 8260 = 4

Step 1: Find the prime factorization of 8256

8256 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 8260

8260 = 2 x 2 x 5 x 7 x 59

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8256 and 8260 is 4