Greatest Common Factor of 10260 and 10266

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 10260, 10266 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10260 and 10266 is 6.

GCF(10260,10266) = 6

GCF of 10260 and 10266

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

GCF of:
and

Greatest Common Factor of 10260 and 10266

GCF of 10260 and 10266 is 6

Prime Factorization of 10260


2 10260
2 5130
3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 10260 are 2,3,5,19. Prime factorization of 10260 in exponential form is:

10260 = 22×33×51×191

Prime Factorization of 10266


2 10266
3 5133
29 1711
59 59
1

Prime factors of 10266 are 2,3,29,59. Prime factorization of 10266 in exponential form is:

10266 = 21×31×291×591

∴ So by taking common prime factors GCF of 10260 and 10266 is 6

Greatest Common Factor of 10260 and 10266 by matching factors method

Factors of 10260

List of positive integer factors of 10260 that divides 10260 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,19,20,27,30,36,38,45,54,57,60,76,90,95,108,114,135,171,180,190,228,270,285,342,380,513,540,570,684,855,1026,1140,1710,2052,2565,3420,5130,10260

Factors of 10266

List of positive integer factors of 10266 that divides 10266 without a remainder.

1,2,3,6,29,58,59,87,118,174,177,354,1711,3422,5133,10266

Greatest Common Factor

We found the factors and prime factorization of 10260 and 10266. The biggest common factor number is the GCF number.
So the greatest common factor 10260 and 10266 is 6.

Also check out the Least Common Multiple of 10260 and 10266

Properties of GCF 10260 and 10266

(i) The GCF of 10260 and 10266 is associative

GCF of 10260 and 10266 = GCF of 10266 and 10260

Related Greatest Common Factor of 10260

Related Greatest Common Factor of 10266

Frequently Asked Questions on GCF of 10260 and 10266

1. What is the GCF of 10260 and 10266?

Answer: GCF of 10260 and 10266 is 6.

2. What are the Factors of 10260?

Answer: Factors of 10260 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 27, 30, 36, 38, 45, 54, 57, 60, 76, 90, 95, 108, 114, 135, 171, 180, 190, 228, 270, 285, 342, 380, 513, 540, 570, 684, 855, 1026, 1140, 1710, 2052, 2565, 3420, 5130, 10260. There are 48 integers that are factors of 10260. The greatest factor of 10260 is 10260.

3. What are the Factors of 10266?

Answer: Factors of 10266 are 1, 2, 3, 6, 29, 58, 59, 87, 118, 174, 177, 354, 1711, 3422, 5133, 10266. There are 16 integers that are factors of 10266. The greatest factor of 10266 is 10266.

4. How to Find the GCF of 10260 and 10266?

Answer:

Greatest Common Factor of 10260 and 10266 = 6

Step 1: Find the prime factorization of 10260

10260 = 2 x 2 x 3 x 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 10266

10266 = 2 x 3 x 29 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 3 = 6

Step 4: Therefore, the greatest common factor of 10260 and 10266 is 6