Greatest Common Factor of 220 and 227

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 220, 227 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 220 and 227 is 1.

GCF(220,227) = 1

GCF of 220 and 227

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

GCF of:
and

Greatest Common Factor of 220 and 227

GCF of 220 and 227 is 1

Prime Factorization of 220


2 220
2 110
5 55
11 11
1

Prime factors of 220 are 2,5,11. Prime factorization of 220 in exponential form is:

220 = 22×51×111

Prime Factorization of 227


227 227
1

Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:

227 = 2271

∴ So by taking common prime factors GCF of 220 and 227 is 1

Greatest Common Factor of 220 and 227 by matching factors method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors and prime factorization of 220 and 227. The biggest common factor number is the GCF number.
So the greatest common factor 220 and 227 is 1.

Also check out the Least Common Multiple of 220 and 227

Properties of GCF 220 and 227

(i) The GCF of 220 and 227 is associative

GCF of 220 and 227 = GCF of 227 and 220

Frequently Asked Questions on GCF of 220 and 227

1. What is the GCF of 220 and 227?

Answer: GCF of 220 and 227 is 1.

2. What are the Factors of 220?

Answer: Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220. There are 12 integers that are factors of 220. The greatest factor of 220 is 220.

3. What are the Factors of 227?

Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.

4. How to Find the GCF of 220 and 227?

Answer:

Greatest Common Factor of 220 and 227 = 1

Step 1: Find the prime factorization of 220

220 = 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 227

227 = 227

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 220 and 227 is 1