Greatest Common Factor of 2241 and 2248

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, 2248 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2241 and 2248 is 1.

GCF(2241,2248) = 1

GCF of 2241 and 2248

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

GCF of:
and

Greatest Common Factor of 2241 and 2248

GCF of 2241 and 2248 is 1

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 2248


2 2248
2 1124
2 562
281 281
1

Prime factors of 2248 are 2,281. Prime factorization of 2248 in exponential form is:

2248 = 23×2811

∴ So by taking common prime factors GCF of 2241 and 2248 is 1

Greatest Common Factor of 2241 and 2248 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 2248

List of positive integer factors of 2248 that divides 2248 without a remainder.

1,2,4,8,281,562,1124,2248

Greatest Common Factor

We found the factors and prime factorization of 2241 and 2248. The biggest common factor number is the GCF number.
So the greatest common factor 2241 and 2248 is 1.

Also check out the Least Common Multiple of 2241 and 2248

Properties of GCF 2241 and 2248

(i) The GCF of 2241 and 2248 is associative

GCF of 2241 and 2248 = GCF of 2248 and 2241

Related Greatest Common Factor of 2241

Related Greatest Common Factor of 2248

Frequently Asked Questions on GCF of 2241 and 2248

1. What is the GCF of 2241 and 2248?

Answer: GCF of 2241 and 2248 is 1.

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 2248?

Answer: Factors of 2248 are 1, 2, 4, 8, 281, 562, 1124, 2248. There are 8 integers that are factors of 2248. The greatest factor of 2248 is 2248.

4. How to Find the GCF of 2241 and 2248?

Answer:

Greatest Common Factor of 2241 and 2248 = 1

Step 1: Find the prime factorization of 2241

2241 = 3 x 3 x 3 x 83

Step 2: Find the prime factorization of 2248

2248 = 2 x 2 x 2 x 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 2241 and 2248 is 1