Greatest Common Factor of 270 and 275

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 270, 275 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 270 and 275 is 5.

GCF(270,275) = 5

GCF of 270 and 275

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

GCF of:
and

Greatest Common Factor of 270 and 275

GCF of 270 and 275 is 5

Prime Factorization of 270


2 270
3 135
3 45
3 15
5 5
1

Prime factors of 270 are 2,3,5. Prime factorization of 270 in exponential form is:

270 = 21×33×51

Prime Factorization of 275


5 275
5 55
11 11
1

Prime factors of 275 are 5,11. Prime factorization of 275 in exponential form is:

275 = 52×111

∴ So by taking common prime factors GCF of 270 and 275 is 5

Greatest Common Factor of 270 and 275 by matching factors method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors and prime factorization of 270 and 275. The biggest common factor number is the GCF number.
So the greatest common factor 270 and 275 is 5.

Also check out the Least Common Multiple of 270 and 275

Properties of GCF 270 and 275

(i) The GCF of 270 and 275 is associative

GCF of 270 and 275 = GCF of 275 and 270

Related Greatest Common Factor of 270

Related Greatest Common Factor of 275

Frequently Asked Questions on GCF of 270 and 275

1. What is the GCF of 270 and 275?

Answer: GCF of 270 and 275 is 5.

2. What are the Factors of 270?

Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.

3. What are the Factors of 275?

Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.

4. How to Find the GCF of 270 and 275?

Answer:

Greatest Common Factor of 270 and 275 = 5

Step 1: Find the prime factorization of 270

270 = 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 275

275 = 5 x 5 x 11

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 270 and 275 is 5