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 1224, 1228 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1224 and 1228 is 4.
GCF(1224,1228) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1224
2 | 1224 |
2 | 612 |
2 | 306 |
3 | 153 |
3 | 51 |
17 | 17 |
1 |
Prime factors of 1224 are 2,3,17. Prime factorization of 1224 in exponential form is:
1224 = 23×32×171
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
∴ So by taking common prime factors GCF of 1224 and 1228 is 4
Factors of 1224
List of positive integer factors of 1224 that divides 1224 without a remainder.
1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224
Factors of 1228
List of positive integer factors of 1228 that divides 1228 without a remainder.
1,2,4,307,614,1228
Greatest Common Factor
We found the factors and prime factorization of 1224 and 1228. The biggest common factor number is the GCF number.
So the greatest common factor 1224 and 1228 is 4.
Also check out the Least Common Multiple of 1224 and 1228
(i) The GCF of 1224 and 1228 is associative
GCF of 1224 and 1228 = GCF of 1228 and 1224
1. What is the GCF of 1224 and 1228?
Answer: GCF of 1224 and 1228 is 4.
2. What are the Factors of 1224?
Answer: Factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224. There are 24 integers that are factors of 1224. The greatest factor of 1224 is 1224.
3. 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.
4. How to Find the GCF of 1224 and 1228?
Answer:
Greatest Common Factor of 1224 and 1228 = 4
Step 1: Find the prime factorization of 1224
1224 = 2 x 2 x 2 x 3 x 3 x 17
Step 2: Find the prime factorization of 1228
1228 = 2 x 2 x 307
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 1224 and 1228 is 4