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 10224, 10230 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10224 and 10230 is 6.
GCF(10224,10230) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10224
2 | 10224 |
2 | 5112 |
2 | 2556 |
2 | 1278 |
3 | 639 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 10224 are 2,3,71. Prime factorization of 10224 in exponential form is:
10224 = 24×32×711
Prime Factorization of 10230
2 | 10230 |
3 | 5115 |
5 | 1705 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 10230 are 2,3,5,11,31. Prime factorization of 10230 in exponential form is:
10230 = 21×31×51×111×311
∴ So by taking common prime factors GCF of 10224 and 10230 is 6
Factors of 10224
List of positive integer factors of 10224 that divides 10224 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,71,72,142,144,213,284,426,568,639,852,1136,1278,1704,2556,3408,5112,10224
Factors of 10230
List of positive integer factors of 10230 that divides 10230 without a remainder.
1,2,3,5,6,10,11,15,22,30,31,33,55,62,66,93,110,155,165,186,310,330,341,465,682,930,1023,1705,2046,3410,5115,10230
Greatest Common Factor
We found the factors and prime factorization of 10224 and 10230. The biggest common factor number is the GCF number.
So the greatest common factor 10224 and 10230 is 6.
Also check out the Least Common Multiple of 10224 and 10230
(i) The GCF of 10224 and 10230 is associative
GCF of 10224 and 10230 = GCF of 10230 and 10224
1. What is the GCF of 10224 and 10230?
Answer: GCF of 10224 and 10230 is 6.
2. What are the Factors of 10224?
Answer: Factors of 10224 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112, 10224. There are 30 integers that are factors of 10224. The greatest factor of 10224 is 10224.
3. What are the Factors of 10230?
Answer: Factors of 10230 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 31, 33, 55, 62, 66, 93, 110, 155, 165, 186, 310, 330, 341, 465, 682, 930, 1023, 1705, 2046, 3410, 5115, 10230. There are 32 integers that are factors of 10230. The greatest factor of 10230 is 10230.
4. How to Find the GCF of 10224 and 10230?
Answer:
Greatest Common Factor of 10224 and 10230 = 6
Step 1: Find the prime factorization of 10224
10224 = 2 x 2 x 2 x 2 x 3 x 3 x 71
Step 2: Find the prime factorization of 10230
10230 = 2 x 3 x 5 x 11 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 10224 and 10230 is 6