Greatest Common Factor of 8258 and 8262

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 8258, 8262 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8258 and 8262 is 2.

GCF(8258,8262) = 2

GCF of 8258 and 8262

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

GCF of:
and

Greatest Common Factor of 8258 and 8262

GCF of 8258 and 8262 is 2

Prime Factorization of 8258


2 8258
4129 4129
1

Prime factors of 8258 are 2,4129. Prime factorization of 8258 in exponential form is:

8258 = 21×41291

Prime Factorization of 8262


2 8262
3 4131
3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 8262 are 2,3,17. Prime factorization of 8262 in exponential form is:

8262 = 21×35×171

∴ So by taking common prime factors GCF of 8258 and 8262 is 2

Greatest Common Factor of 8258 and 8262 by matching factors method

Factors of 8258

List of positive integer factors of 8258 that divides 8258 without a remainder.

1,2,4129,8258

Factors of 8262

List of positive integer factors of 8262 that divides 8262 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262

Greatest Common Factor

We found the factors and prime factorization of 8258 and 8262. The biggest common factor number is the GCF number.
So the greatest common factor 8258 and 8262 is 2.

Also check out the Least Common Multiple of 8258 and 8262

Properties of GCF 8258 and 8262

(i) The GCF of 8258 and 8262 is associative

GCF of 8258 and 8262 = GCF of 8262 and 8258

Related Greatest Common Factor of 8258

Related Greatest Common Factor of 8262

Frequently Asked Questions on GCF of 8258 and 8262

1. What is the GCF of 8258 and 8262?

Answer: GCF of 8258 and 8262 is 2.

2. What are the Factors of 8258?

Answer: Factors of 8258 are 1, 2, 4129, 8258. There are 4 integers that are factors of 8258. The greatest factor of 8258 is 8258.

3. What are the Factors of 8262?

Answer: Factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262. There are 24 integers that are factors of 8262. The greatest factor of 8262 is 8262.

4. How to Find the GCF of 8258 and 8262?

Answer:

Greatest Common Factor of 8258 and 8262 = 2

Step 1: Find the prime factorization of 8258

8258 = 2 x 4129

Step 2: Find the prime factorization of 8262

8262 = 2 x 3 x 3 x 3 x 3 x 3 x 17

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 8258 and 8262 is 2