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 1228, 1230 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1228 and 1230 is 2.
GCF(1228,1230) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1228
2 | 1228 |
2 | 614 |
307 | 307 |
1 |
Prime factors of 1228 are 2,307. Prime factorization of 1228 in exponential form is:
1228 = 22×3071
Prime Factorization of 1230
2 | 1230 |
3 | 615 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 1230 are 2,3,5,41. Prime factorization of 1230 in exponential form is:
1230 = 21×31×51×411
∴ So by taking common prime factors GCF of 1228 and 1230 is 2
Factors of 1228
List of positive integer factors of 1228 that divides 1228 without a remainder.
1,2,4,307,614,1228
Factors of 1230
List of positive integer factors of 1230 that divides 1230 without a remainder.
1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230
Greatest Common Factor
We found the factors and prime factorization of 1228 and 1230. The biggest common factor number is the GCF number.
So the greatest common factor 1228 and 1230 is 2.
Also check out the Least Common Multiple of 1228 and 1230
(i) The GCF of 1228 and 1230 is associative
GCF of 1228 and 1230 = GCF of 1230 and 1228
1. What is the GCF of 1228 and 1230?
Answer: GCF of 1228 and 1230 is 2.
2. What are the Factors of 1228?
Answer: Factors of 1228 are 1, 2, 4, 307, 614, 1228. There are 6 integers that are factors of 1228. The greatest factor of 1228 is 1228.
3. What are the Factors of 1230?
Answer: Factors of 1230 are 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230. There are 16 integers that are factors of 1230. The greatest factor of 1230 is 1230.
4. How to Find the GCF of 1228 and 1230?
Answer:
Greatest Common Factor of 1228 and 1230 = 2
Step 1: Find the prime factorization of 1228
1228 = 2 x 2 x 307
Step 2: Find the prime factorization of 1230
1230 = 2 x 3 x 5 x 41
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 1228 and 1230 is 2