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 2224, 2230 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2224 and 2230 is 2.
GCF(2224,2230) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2224
2 | 2224 |
2 | 1112 |
2 | 556 |
2 | 278 |
139 | 139 |
1 |
Prime factors of 2224 are 2,139. Prime factorization of 2224 in exponential form is:
2224 = 24×1391
Prime Factorization of 2230
2 | 2230 |
5 | 1115 |
223 | 223 |
1 |
Prime factors of 2230 are 2,5,223. Prime factorization of 2230 in exponential form is:
2230 = 21×51×2231
∴ So by taking common prime factors GCF of 2224 and 2230 is 2
Factors of 2224
List of positive integer factors of 2224 that divides 2224 without a remainder.
1,2,4,8,16,139,278,556,1112,2224
Factors of 2230
List of positive integer factors of 2230 that divides 2230 without a remainder.
1,2,5,10,223,446,1115,2230
Greatest Common Factor
We found the factors and prime factorization of 2224 and 2230. The biggest common factor number is the GCF number.
So the greatest common factor 2224 and 2230 is 2.
Also check out the Least Common Multiple of 2224 and 2230
(i) The GCF of 2224 and 2230 is associative
GCF of 2224 and 2230 = GCF of 2230 and 2224
1. What is the GCF of 2224 and 2230?
Answer: GCF of 2224 and 2230 is 2.
2. What are the Factors of 2224?
Answer: Factors of 2224 are 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224. There are 10 integers that are factors of 2224. The greatest factor of 2224 is 2224.
3. What are the Factors of 2230?
Answer: Factors of 2230 are 1, 2, 5, 10, 223, 446, 1115, 2230. There are 8 integers that are factors of 2230. The greatest factor of 2230 is 2230.
4. How to Find the GCF of 2224 and 2230?
Answer:
Greatest Common Factor of 2224 and 2230 = 2
Step 1: Find the prime factorization of 2224
2224 = 2 x 2 x 2 x 2 x 139
Step 2: Find the prime factorization of 2230
2230 = 2 x 5 x 223
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2224 and 2230 is 2