Greatest Common Factor of 1260 and 1265

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 1260, 1265 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1260 and 1265 is 5.

GCF(1260,1265) = 5

GCF of 1260 and 1265

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

GCF of:
and

Greatest Common Factor of 1260 and 1265

GCF of 1260 and 1265 is 5

Prime Factorization of 1260


2 1260
2 630
3 315
3 105
5 35
7 7
1

Prime factors of 1260 are 2,3,5,7. Prime factorization of 1260 in exponential form is:

1260 = 22×32×51×71

Prime Factorization of 1265


5 1265
11 253
23 23
1

Prime factors of 1265 are 5,11,23. Prime factorization of 1265 in exponential form is:

1265 = 51×111×231

∴ So by taking common prime factors GCF of 1260 and 1265 is 5

Greatest Common Factor of 1260 and 1265 by matching factors method

Factors of 1260

List of positive integer factors of 1260 that divides 1260 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260

Factors of 1265

List of positive integer factors of 1265 that divides 1265 without a remainder.

1,5,11,23,55,115,253,1265

Greatest Common Factor

We found the factors and prime factorization of 1260 and 1265. The biggest common factor number is the GCF number.
So the greatest common factor 1260 and 1265 is 5.

Also check out the Least Common Multiple of 1260 and 1265

Properties of GCF 1260 and 1265

(i) The GCF of 1260 and 1265 is associative

GCF of 1260 and 1265 = GCF of 1265 and 1260

Related Greatest Common Factor of 1260

Related Greatest Common Factor of 1265

Frequently Asked Questions on GCF of 1260 and 1265

1. What is the GCF of 1260 and 1265?

Answer: GCF of 1260 and 1265 is 5.

2. What are the Factors of 1260?

Answer: Factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260. There are 36 integers that are factors of 1260. The greatest factor of 1260 is 1260.

3. What are the Factors of 1265?

Answer: Factors of 1265 are 1, 5, 11, 23, 55, 115, 253, 1265. There are 8 integers that are factors of 1265. The greatest factor of 1265 is 1265.

4. How to Find the GCF of 1260 and 1265?

Answer:

Greatest Common Factor of 1260 and 1265 = 5

Step 1: Find the prime factorization of 1260

1260 = 2 x 2 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 1265

1265 = 5 x 11 x 23

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 1260 and 1265 is 5