Greatest Common Factor of 2241 and 2247

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 2241, 2247 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2241 and 2247 is 3.

GCF(2241,2247) = 3

GCF of 2241 and 2247

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

GCF of:
and

Greatest Common Factor of 2241 and 2247

GCF of 2241 and 2247 is 3

Prime Factorization of 2241


3 2241
3 747
3 249
83 83
1

Prime factors of 2241 are 3,83. Prime factorization of 2241 in exponential form is:

2241 = 33×831

Prime Factorization of 2247


3 2247
7 749
107 107
1

Prime factors of 2247 are 3,7,107. Prime factorization of 2247 in exponential form is:

2247 = 31×71×1071

∴ So by taking common prime factors GCF of 2241 and 2247 is 3

Greatest Common Factor of 2241 and 2247 by matching factors method

Factors of 2241

List of positive integer factors of 2241 that divides 2241 without a remainder.

1,3,9,27,83,249,747,2241

Factors of 2247

List of positive integer factors of 2247 that divides 2247 without a remainder.

1,3,7,21,107,321,749,2247

Greatest Common Factor

We found the factors and prime factorization of 2241 and 2247. The biggest common factor number is the GCF number.
So the greatest common factor 2241 and 2247 is 3.

Also check out the Least Common Multiple of 2241 and 2247

Properties of GCF 2241 and 2247

(i) The GCF of 2241 and 2247 is associative

GCF of 2241 and 2247 = GCF of 2247 and 2241

Related Greatest Common Factor of 2241

Related Greatest Common Factor of 2247

Frequently Asked Questions on GCF of 2241 and 2247

1. What is the GCF of 2241 and 2247?

Answer: GCF of 2241 and 2247 is 3.

2. What are the Factors of 2241?

Answer: Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241. There are 8 integers that are factors of 2241. The greatest factor of 2241 is 2241.

3. What are the Factors of 2247?

Answer: Factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247. There are 8 integers that are factors of 2247. The greatest factor of 2247 is 2247.

4. How to Find the GCF of 2241 and 2247?

Answer:

Greatest Common Factor of 2241 and 2247 = 3

Step 1: Find the prime factorization of 2241

2241 = 3 x 3 x 3 x 83

Step 2: Find the prime factorization of 2247

2247 = 3 x 7 x 107

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2241 and 2247 is 3