Greatest Common Factor of 2244 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 2244, 2248 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2244 and 2248 is 4.

GCF(2244,2248) = 4

GCF of 2244 and 2248

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

GCF of:
and

Greatest Common Factor of 2244 and 2248

GCF of 2244 and 2248 is 4

Prime Factorization of 2244


2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 2244 are 2,3,11,17. Prime factorization of 2244 in exponential form is:

2244 = 22×31×111×171

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 2244 and 2248 is 4

Greatest Common Factor of 2244 and 2248 by matching factors method

Factors of 2244

List of positive integer factors of 2244 that divides 2244 without a remainder.

1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244

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 2244 and 2248. The biggest common factor number is the GCF number.
So the greatest common factor 2244 and 2248 is 4.

Also check out the Least Common Multiple of 2244 and 2248

Properties of GCF 2244 and 2248

(i) The GCF of 2244 and 2248 is associative

GCF of 2244 and 2248 = GCF of 2248 and 2244

Related Greatest Common Factor of 2244

Related Greatest Common Factor of 2248

Frequently Asked Questions on GCF of 2244 and 2248

1. What is the GCF of 2244 and 2248?

Answer: GCF of 2244 and 2248 is 4.

2. What are the Factors of 2244?

Answer: Factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244. There are 24 integers that are factors of 2244. The greatest factor of 2244 is 2244.

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 2244 and 2248?

Answer:

Greatest Common Factor of 2244 and 2248 = 4

Step 1: Find the prime factorization of 2244

2244 = 2 x 2 x 3 x 11 x 17

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2244 and 2248 is 4