Greatest Common Factor of 268 and 272

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 268, 272 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 268 and 272 is 4.

GCF(268,272) = 4

GCF of 268 and 272

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

GCF of:
and

Greatest Common Factor of 268 and 272

GCF of 268 and 272 is 4

Prime Factorization of 268


2 268
2 134
67 67
1

Prime factors of 268 are 2,67. Prime factorization of 268 in exponential form is:

268 = 22×671

Prime Factorization of 272


2 272
2 136
2 68
2 34
17 17
1

Prime factors of 272 are 2,17. Prime factorization of 272 in exponential form is:

272 = 24×171

∴ So by taking common prime factors GCF of 268 and 272 is 4

Greatest Common Factor of 268 and 272 by matching factors method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors and prime factorization of 268 and 272. The biggest common factor number is the GCF number.
So the greatest common factor 268 and 272 is 4.

Also check out the Least Common Multiple of 268 and 272

Properties of GCF 268 and 272

(i) The GCF of 268 and 272 is associative

GCF of 268 and 272 = GCF of 272 and 268

Related Greatest Common Factor of 268

Related Greatest Common Factor of 272

Frequently Asked Questions on GCF of 268 and 272

1. What is the GCF of 268 and 272?

Answer: GCF of 268 and 272 is 4.

2. What are the Factors of 268?

Answer: Factors of 268 are 1, 2, 4, 67, 134, 268. There are 6 integers that are factors of 268. The greatest factor of 268 is 268.

3. What are the Factors of 272?

Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.

4. How to Find the GCF of 268 and 272?

Answer:

Greatest Common Factor of 268 and 272 = 4

Step 1: Find the prime factorization of 268

268 = 2 x 2 x 67

Step 2: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 268 and 272 is 4