Greatest Common Factor of 8260 and 8267

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, 8267 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8260 and 8267 is 7.

GCF(8260,8267) = 7

GCF of 8260 and 8267

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

GCF of:
and

Greatest Common Factor of 8260 and 8267

GCF of 8260 and 8267 is 7

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 8267


7 8267
1181 1181
1

Prime factors of 8267 are 7,1181. Prime factorization of 8267 in exponential form is:

8267 = 71×11811

∴ So by taking common prime factors GCF of 8260 and 8267 is 7

Greatest Common Factor of 8260 and 8267 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 8267

List of positive integer factors of 8267 that divides 8267 without a remainder.

1,7,1181,8267

Greatest Common Factor

We found the factors and prime factorization of 8260 and 8267. The biggest common factor number is the GCF number.
So the greatest common factor 8260 and 8267 is 7.

Also check out the Least Common Multiple of 8260 and 8267

Properties of GCF 8260 and 8267

(i) The GCF of 8260 and 8267 is associative

GCF of 8260 and 8267 = GCF of 8267 and 8260

Related Greatest Common Factor of 8260

Related Greatest Common Factor of 8267

Frequently Asked Questions on GCF of 8260 and 8267

1. What is the GCF of 8260 and 8267?

Answer: GCF of 8260 and 8267 is 7.

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 8267?

Answer: Factors of 8267 are 1, 7, 1181, 8267. There are 4 integers that are factors of 8267. The greatest factor of 8267 is 8267.

4. How to Find the GCF of 8260 and 8267?

Answer:

Greatest Common Factor of 8260 and 8267 = 7

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 8267

8267 = 7 x 1181

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8260 and 8267 is 7