Greatest Common Factor of 8260 and 8268

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 8260, 8268 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8260 and 8268 is 4.

GCF(8260,8268) = 4

GCF of 8260 and 8268

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

GCF of:
and

Greatest Common Factor of 8260 and 8268

GCF of 8260 and 8268 is 4

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

Prime Factorization of 8268


2 8268
2 4134
3 2067
13 689
53 53
1

Prime factors of 8268 are 2,3,13,53. Prime factorization of 8268 in exponential form is:

8268 = 22×31×131×531

∴ So by taking common prime factors GCF of 8260 and 8268 is 4

Greatest Common Factor of 8260 and 8268 by matching factors method

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

Factors of 8268

List of positive integer factors of 8268 that divides 8268 without a remainder.

1,2,3,4,6,12,13,26,39,52,53,78,106,156,159,212,318,636,689,1378,2067,2756,4134,8268

Greatest Common Factor

We found the factors and prime factorization of 8260 and 8268. The biggest common factor number is the GCF number.
So the greatest common factor 8260 and 8268 is 4.

Also check out the Least Common Multiple of 8260 and 8268

Properties of GCF 8260 and 8268

(i) The GCF of 8260 and 8268 is associative

GCF of 8260 and 8268 = GCF of 8268 and 8260

Related Greatest Common Factor of 8260

Related Greatest Common Factor of 8268

Frequently Asked Questions on GCF of 8260 and 8268

1. What is the GCF of 8260 and 8268?

Answer: GCF of 8260 and 8268 is 4.

2. 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.

3. What are the Factors of 8268?

Answer: Factors of 8268 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134, 8268. There are 24 integers that are factors of 8268. The greatest factor of 8268 is 8268.

4. How to Find the GCF of 8260 and 8268?

Answer:

Greatest Common Factor of 8260 and 8268 = 4

Step 1: Find the prime factorization of 8260

8260 = 2 x 2 x 5 x 7 x 59

Step 2: Find the prime factorization of 8268

8268 = 2 x 2 x 3 x 13 x 53

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 8260 and 8268 is 4