Greatest Common Factor of 10262 and 10269

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 10262, 10269 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10262 and 10269 is 7.

GCF(10262,10269) = 7

GCF of 10262 and 10269

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

GCF of:
and

Greatest Common Factor of 10262 and 10269

GCF of 10262 and 10269 is 7

Prime Factorization of 10262


2 10262
7 5131
733 733
1

Prime factors of 10262 are 2,7,733. Prime factorization of 10262 in exponential form is:

10262 = 21×71×7331

Prime Factorization of 10269


3 10269
3 3423
7 1141
163 163
1

Prime factors of 10269 are 3,7,163. Prime factorization of 10269 in exponential form is:

10269 = 32×71×1631

∴ So by taking common prime factors GCF of 10262 and 10269 is 7

Greatest Common Factor of 10262 and 10269 by matching factors method

Factors of 10262

List of positive integer factors of 10262 that divides 10262 without a remainder.

1,2,7,14,733,1466,5131,10262

Factors of 10269

List of positive integer factors of 10269 that divides 10269 without a remainder.

1,3,7,9,21,63,163,489,1141,1467,3423,10269

Greatest Common Factor

We found the factors and prime factorization of 10262 and 10269. The biggest common factor number is the GCF number.
So the greatest common factor 10262 and 10269 is 7.

Also check out the Least Common Multiple of 10262 and 10269

Properties of GCF 10262 and 10269

(i) The GCF of 10262 and 10269 is associative

GCF of 10262 and 10269 = GCF of 10269 and 10262

Related Greatest Common Factor of 10262

Related Greatest Common Factor of 10269

Frequently Asked Questions on GCF of 10262 and 10269

1. What is the GCF of 10262 and 10269?

Answer: GCF of 10262 and 10269 is 7.

2. What are the Factors of 10262?

Answer: Factors of 10262 are 1, 2, 7, 14, 733, 1466, 5131, 10262. There are 8 integers that are factors of 10262. The greatest factor of 10262 is 10262.

3. What are the Factors of 10269?

Answer: Factors of 10269 are 1, 3, 7, 9, 21, 63, 163, 489, 1141, 1467, 3423, 10269. There are 12 integers that are factors of 10269. The greatest factor of 10269 is 10269.

4. How to Find the GCF of 10262 and 10269?

Answer:

Greatest Common Factor of 10262 and 10269 = 7

Step 1: Find the prime factorization of 10262

10262 = 2 x 7 x 733

Step 2: Find the prime factorization of 10269

10269 = 3 x 3 x 7 x 163

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 10262 and 10269 is 7