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 10238, 10241 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10238 and 10241 is 1.
GCF(10238,10241) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10238
2 | 10238 |
5119 | 5119 |
1 |
Prime factors of 10238 are 2,5119. Prime factorization of 10238 in exponential form is:
10238 = 21×51191
Prime Factorization of 10241
7 | 10241 |
7 | 1463 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 10241 are 7,11,19. Prime factorization of 10241 in exponential form is:
10241 = 72×111×191
∴ So by taking common prime factors GCF of 10238 and 10241 is 1
Factors of 10238
List of positive integer factors of 10238 that divides 10238 without a remainder.
1,2,5119,10238
Factors of 10241
List of positive integer factors of 10241 that divides 10241 without a remainder.
1,7,11,19,49,77,133,209,539,931,1463,10241
Greatest Common Factor
We found the factors and prime factorization of 10238 and 10241. The biggest common factor number is the GCF number.
So the greatest common factor 10238 and 10241 is 1.
Also check out the Least Common Multiple of 10238 and 10241
(i) The GCF of 10238 and 10241 is associative
GCF of 10238 and 10241 = GCF of 10241 and 10238
1. What is the GCF of 10238 and 10241?
Answer: GCF of 10238 and 10241 is 1.
2. What are the Factors of 10238?
Answer: Factors of 10238 are 1, 2, 5119, 10238. There are 4 integers that are factors of 10238. The greatest factor of 10238 is 10238.
3. What are the Factors of 10241?
Answer: Factors of 10241 are 1, 7, 11, 19, 49, 77, 133, 209, 539, 931, 1463, 10241. There are 12 integers that are factors of 10241. The greatest factor of 10241 is 10241.
4. How to Find the GCF of 10238 and 10241?
Answer:
Greatest Common Factor of 10238 and 10241 = 1
Step 1: Find the prime factorization of 10238
10238 = 2 x 5119
Step 2: Find the prime factorization of 10241
10241 = 7 x 7 x 11 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 10238 and 10241 is 1