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 7234, 7238 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7234 and 7238 is 2.
GCF(7234,7238) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7234
2 | 7234 |
3617 | 3617 |
1 |
Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:
7234 = 21×36171
Prime Factorization of 7238
2 | 7238 |
7 | 3619 |
11 | 517 |
47 | 47 |
1 |
Prime factors of 7238 are 2,7,11,47. Prime factorization of 7238 in exponential form is:
7238 = 21×71×111×471
∴ So by taking common prime factors GCF of 7234 and 7238 is 2
Factors of 7234
List of positive integer factors of 7234 that divides 7234 without a remainder.
1,2,3617,7234
Factors of 7238
List of positive integer factors of 7238 that divides 7238 without a remainder.
1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238
Greatest Common Factor
We found the factors and prime factorization of 7234 and 7238. The biggest common factor number is the GCF number.
So the greatest common factor 7234 and 7238 is 2.
Also check out the Least Common Multiple of 7234 and 7238
(i) The GCF of 7234 and 7238 is associative
GCF of 7234 and 7238 = GCF of 7238 and 7234
1. What is the GCF of 7234 and 7238?
Answer: GCF of 7234 and 7238 is 2.
2. What are the Factors of 7234?
Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.
3. What are the Factors of 7238?
Answer: Factors of 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238. There are 16 integers that are factors of 7238. The greatest factor of 7238 is 7238.
4. How to Find the GCF of 7234 and 7238?
Answer:
Greatest Common Factor of 7234 and 7238 = 2
Step 1: Find the prime factorization of 7234
7234 = 2 x 3617
Step 2: Find the prime factorization of 7238
7238 = 2 x 7 x 11 x 47
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 7234 and 7238 is 2