Greatest Common Factor of 275 and 281

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 275, 281 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 275 and 281 is 1.

GCF(275,281) = 1

GCF of 275 and 281

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

GCF of:
and

Greatest Common Factor of 275 and 281

GCF of 275 and 281 is 1

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

Prime Factorization of 281


281 281
1

Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:

281 = 2811

∴ So by taking common prime factors GCF of 275 and 281 is 1

Greatest Common Factor of 275 and 281 by matching factors method

Factors of 275

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

1,5,11,25,55,275

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors and prime factorization of 275 and 281. The biggest common factor number is the GCF number.
So the greatest common factor 275 and 281 is 1.

Also check out the Least Common Multiple of 275 and 281

Properties of GCF 275 and 281

(i) The GCF of 275 and 281 is associative

GCF of 275 and 281 = GCF of 281 and 275

Related Greatest Common Factor of 275

Related Greatest Common Factor of 281

Frequently Asked Questions on GCF of 275 and 281

1. What is the GCF of 275 and 281?

Answer: GCF of 275 and 281 is 1.

2. 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.

3. What are the Factors of 281?

Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.

4. How to Find the GCF of 275 and 281?

Answer:

Greatest Common Factor of 275 and 281 = 1

Step 1: Find the prime factorization of 275

275 = 5 x 5 x 11

Step 2: Find the prime factorization of 281

281 = 281

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 275 and 281 is 1