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 10232, 10234 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10232 and 10234 is 2.
GCF(10232,10234) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10232
2 | 10232 |
2 | 5116 |
2 | 2558 |
1279 | 1279 |
1 |
Prime factors of 10232 are 2,1279. Prime factorization of 10232 in exponential form is:
10232 = 23×12791
Prime Factorization of 10234
2 | 10234 |
7 | 5117 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 10234 are 2,7,17,43. Prime factorization of 10234 in exponential form is:
10234 = 21×71×171×431
∴ So by taking common prime factors GCF of 10232 and 10234 is 2
Factors of 10232
List of positive integer factors of 10232 that divides 10232 without a remainder.
1,2,4,8,1279,2558,5116,10232
Factors of 10234
List of positive integer factors of 10234 that divides 10234 without a remainder.
1,2,7,14,17,34,43,86,119,238,301,602,731,1462,5117,10234
Greatest Common Factor
We found the factors and prime factorization of 10232 and 10234. The biggest common factor number is the GCF number.
So the greatest common factor 10232 and 10234 is 2.
Also check out the Least Common Multiple of 10232 and 10234
(i) The GCF of 10232 and 10234 is associative
GCF of 10232 and 10234 = GCF of 10234 and 10232
1. What is the GCF of 10232 and 10234?
Answer: GCF of 10232 and 10234 is 2.
2. What are the Factors of 10232?
Answer: Factors of 10232 are 1, 2, 4, 8, 1279, 2558, 5116, 10232. There are 8 integers that are factors of 10232. The greatest factor of 10232 is 10232.
3. What are the Factors of 10234?
Answer: Factors of 10234 are 1, 2, 7, 14, 17, 34, 43, 86, 119, 238, 301, 602, 731, 1462, 5117, 10234. There are 16 integers that are factors of 10234. The greatest factor of 10234 is 10234.
4. How to Find the GCF of 10232 and 10234?
Answer:
Greatest Common Factor of 10232 and 10234 = 2
Step 1: Find the prime factorization of 10232
10232 = 2 x 2 x 2 x 1279
Step 2: Find the prime factorization of 10234
10234 = 2 x 7 x 17 x 43
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 10232 and 10234 is 2