Greatest Common Factor of 262 and 270

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 262, 270 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 262 and 270 is 2.

GCF(262,270) = 2

GCF of 262 and 270

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

GCF of:
and

Greatest Common Factor of 262 and 270

GCF of 262 and 270 is 2

Prime Factorization of 262


2 262
131 131
1

Prime factors of 262 are 2,131. Prime factorization of 262 in exponential form is:

262 = 21×1311

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

∴ So by taking common prime factors GCF of 262 and 270 is 2

Greatest Common Factor of 262 and 270 by matching factors method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

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

Greatest Common Factor

We found the factors and prime factorization of 262 and 270. The biggest common factor number is the GCF number.
So the greatest common factor 262 and 270 is 2.

Also check out the Least Common Multiple of 262 and 270

Properties of GCF 262 and 270

(i) The GCF of 262 and 270 is associative

GCF of 262 and 270 = GCF of 270 and 262

Related Greatest Common Factor of 262

Related Greatest Common Factor of 270

Frequently Asked Questions on GCF of 262 and 270

1. What is the GCF of 262 and 270?

Answer: GCF of 262 and 270 is 2.

2. What are the Factors of 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

3. 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.

4. How to Find the GCF of 262 and 270?

Answer:

Greatest Common Factor of 262 and 270 = 2

Step 1: Find the prime factorization of 262

262 = 2 x 131

Step 2: Find the prime factorization of 270

270 = 2 x 3 x 3 x 3 x 5

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

GCF = 2

Step 4: Therefore, the greatest common factor of 262 and 270 is 2