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 15232, 15238 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15232 and 15238 is 2.
GCF(15232,15238) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 15238
2 | 15238 |
19 | 7619 |
401 | 401 |
1 |
Prime factors of 15238 are 2,19,401. Prime factorization of 15238 in exponential form is:
15238 = 21×191×4011
∴ So by taking common prime factors GCF of 15232 and 15238 is 2
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
Factors of 15238
List of positive integer factors of 15238 that divides 15238 without a remainder.
1,2,19,38,401,802,7619,15238
Greatest Common Factor
We found the factors and prime factorization of 15232 and 15238. The biggest common factor number is the GCF number.
So the greatest common factor 15232 and 15238 is 2.
Also check out the Least Common Multiple of 15232 and 15238
(i) The GCF of 15232 and 15238 is associative
GCF of 15232 and 15238 = GCF of 15238 and 15232
1. What is the GCF of 15232 and 15238?
Answer: GCF of 15232 and 15238 is 2.
2. 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.
3. What are the Factors of 15238?
Answer: Factors of 15238 are 1, 2, 19, 38, 401, 802, 7619, 15238. There are 8 integers that are factors of 15238. The greatest factor of 15238 is 15238.
4. How to Find the GCF of 15232 and 15238?
Answer:
Greatest Common Factor of 15232 and 15238 = 2
Step 1: 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 2: Find the prime factorization of 15238
15238 = 2 x 19 x 401
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 15232 and 15238 is 2