Greatest Common Factor of 1265 and 1270

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 1265, 1270 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1265 and 1270 is 5.

GCF(1265,1270) = 5

GCF of 1265 and 1270

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

GCF of:
and

Greatest Common Factor of 1265 and 1270

GCF of 1265 and 1270 is 5

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

Prime Factorization of 1270


2 1270
5 635
127 127
1

Prime factors of 1270 are 2,5,127. Prime factorization of 1270 in exponential form is:

1270 = 21×51×1271

∴ So by taking common prime factors GCF of 1265 and 1270 is 5

Greatest Common Factor of 1265 and 1270 by matching factors method

Factors of 1265

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

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

Factors of 1270

List of positive integer factors of 1270 that divides 1270 without a remainder.

1,2,5,10,127,254,635,1270

Greatest Common Factor

We found the factors and prime factorization of 1265 and 1270. The biggest common factor number is the GCF number.
So the greatest common factor 1265 and 1270 is 5.

Also check out the Least Common Multiple of 1265 and 1270

Properties of GCF 1265 and 1270

(i) The GCF of 1265 and 1270 is associative

GCF of 1265 and 1270 = GCF of 1270 and 1265

Related Greatest Common Factor of 1265

Related Greatest Common Factor of 1270

Frequently Asked Questions on GCF of 1265 and 1270

1. What is the GCF of 1265 and 1270?

Answer: GCF of 1265 and 1270 is 5.

2. 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.

3. What are the Factors of 1270?

Answer: Factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270. There are 8 integers that are factors of 1270. The greatest factor of 1270 is 1270.

4. How to Find the GCF of 1265 and 1270?

Answer:

Greatest Common Factor of 1265 and 1270 = 5

Step 1: Find the prime factorization of 1265

1265 = 5 x 11 x 23

Step 2: Find the prime factorization of 1270

1270 = 2 x 5 x 127

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 1265 and 1270 is 5