Greatest Common Factor of 10260 and 10265

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, 10265 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10260 and 10265 is 5.

GCF(10260,10265) = 5

GCF of 10260 and 10265

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

GCF of:
and

Greatest Common Factor of 10260 and 10265

GCF of 10260 and 10265 is 5

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 10265


5 10265
2053 2053
1

Prime factors of 10265 are 5,2053. Prime factorization of 10265 in exponential form is:

10265 = 51×20531

∴ So by taking common prime factors GCF of 10260 and 10265 is 5

Greatest Common Factor of 10260 and 10265 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 10265

List of positive integer factors of 10265 that divides 10265 without a remainder.

1,5,2053,10265

Greatest Common Factor

We found the factors and prime factorization of 10260 and 10265. The biggest common factor number is the GCF number.
So the greatest common factor 10260 and 10265 is 5.

Also check out the Least Common Multiple of 10260 and 10265

Properties of GCF 10260 and 10265

(i) The GCF of 10260 and 10265 is associative

GCF of 10260 and 10265 = GCF of 10265 and 10260

Related Greatest Common Factor of 10260

Related Greatest Common Factor of 10265

Frequently Asked Questions on GCF of 10260 and 10265

1. What is the GCF of 10260 and 10265?

Answer: GCF of 10260 and 10265 is 5.

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 10265?

Answer: Factors of 10265 are 1, 5, 2053, 10265. There are 4 integers that are factors of 10265. The greatest factor of 10265 is 10265.

4. How to Find the GCF of 10260 and 10265?

Answer:

Greatest Common Factor of 10260 and 10265 = 5

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 10265

10265 = 5 x 2053

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

GCF = 5

Step 4: Therefore, the greatest common factor of 10260 and 10265 is 5