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 15225, 15232 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15225 and 15232 is 7.
GCF(15225,15232) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15225
3 | 15225 |
5 | 5075 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 15225 are 3,5,7,29. Prime factorization of 15225 in exponential form is:
15225 = 31×52×71×291
Prime Factorization of 15232
2 | 15232 |
2 | 7616 |
2 | 3808 |
2 | 1904 |
2 | 952 |
2 | 476 |
2 | 238 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 15232 are 2,7,17. Prime factorization of 15232 in exponential form is:
15232 = 27×71×171
∴ So by taking common prime factors GCF of 15225 and 15232 is 7
Factors of 15225
List of positive integer factors of 15225 that divides 15225 without a remainder.
1,3,5,7,15,21,25,29,35,75,87,105,145,175,203,435,525,609,725,1015,2175,3045,5075,15225
Factors of 15232
List of positive integer factors of 15232 that divides 15232 without a remainder.
1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,128,136,224,238,272,448,476,544,896,952,1088,1904,2176,3808,7616,15232
Greatest Common Factor
We found the factors and prime factorization of 15225 and 15232. The biggest common factor number is the GCF number.
So the greatest common factor 15225 and 15232 is 7.
Also check out the Least Common Multiple of 15225 and 15232
(i) The GCF of 15225 and 15232 is associative
GCF of 15225 and 15232 = GCF of 15232 and 15225
1. What is the GCF of 15225 and 15232?
Answer: GCF of 15225 and 15232 is 7.
2. What are the Factors of 15225?
Answer: Factors of 15225 are 1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075, 15225. There are 24 integers that are factors of 15225. The greatest factor of 15225 is 15225.
3. What are the Factors of 15232?
Answer: Factors of 15232 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 128, 136, 224, 238, 272, 448, 476, 544, 896, 952, 1088, 1904, 2176, 3808, 7616, 15232. There are 32 integers that are factors of 15232. The greatest factor of 15232 is 15232.
4. How to Find the GCF of 15225 and 15232?
Answer:
Greatest Common Factor of 15225 and 15232 = 7
Step 1: Find the prime factorization of 15225
15225 = 3 x 5 x 5 x 7 x 29
Step 2: Find the prime factorization of 15232
15232 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 15225 and 15232 is 7