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, 10236 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10232 and 10236 is 4.
GCF(10232,10236) = 4
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 10236
2 | 10236 |
2 | 5118 |
3 | 2559 |
853 | 853 |
1 |
Prime factors of 10236 are 2,3,853. Prime factorization of 10236 in exponential form is:
10236 = 22×31×8531
∴ So by taking common prime factors GCF of 10232 and 10236 is 4
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 10236
List of positive integer factors of 10236 that divides 10236 without a remainder.
1,2,3,4,6,12,853,1706,2559,3412,5118,10236
Greatest Common Factor
We found the factors and prime factorization of 10232 and 10236. The biggest common factor number is the GCF number.
So the greatest common factor 10232 and 10236 is 4.
Also check out the Least Common Multiple of 10232 and 10236
(i) The GCF of 10232 and 10236 is associative
GCF of 10232 and 10236 = GCF of 10236 and 10232
1. What is the GCF of 10232 and 10236?
Answer: GCF of 10232 and 10236 is 4.
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 10236?
Answer: Factors of 10236 are 1, 2, 3, 4, 6, 12, 853, 1706, 2559, 3412, 5118, 10236. There are 12 integers that are factors of 10236. The greatest factor of 10236 is 10236.
4. How to Find the GCF of 10232 and 10236?
Answer:
Greatest Common Factor of 10232 and 10236 = 4
Step 1: Find the prime factorization of 10232
10232 = 2 x 2 x 2 x 1279
Step 2: Find the prime factorization of 10236
10236 = 2 x 2 x 3 x 853
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 10232 and 10236 is 4