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 7254, 7258 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7254 and 7258 is 2.
GCF(7254,7258) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7254
2 | 7254 |
3 | 3627 |
3 | 1209 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 7254 are 2,3,13,31. Prime factorization of 7254 in exponential form is:
7254 = 21×32×131×311
Prime Factorization of 7258
2 | 7258 |
19 | 3629 |
191 | 191 |
1 |
Prime factors of 7258 are 2,19,191. Prime factorization of 7258 in exponential form is:
7258 = 21×191×1911
∴ So by taking common prime factors GCF of 7254 and 7258 is 2
Factors of 7254
List of positive integer factors of 7254 that divides 7254 without a remainder.
1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254
Factors of 7258
List of positive integer factors of 7258 that divides 7258 without a remainder.
1,2,19,38,191,382,3629,7258
Greatest Common Factor
We found the factors and prime factorization of 7254 and 7258. The biggest common factor number is the GCF number.
So the greatest common factor 7254 and 7258 is 2.
Also check out the Least Common Multiple of 7254 and 7258
(i) The GCF of 7254 and 7258 is associative
GCF of 7254 and 7258 = GCF of 7258 and 7254
1. What is the GCF of 7254 and 7258?
Answer: GCF of 7254 and 7258 is 2.
2. What are the Factors of 7254?
Answer: Factors of 7254 are 1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 403, 558, 806, 1209, 2418, 3627, 7254. There are 24 integers that are factors of 7254. The greatest factor of 7254 is 7254.
3. What are the Factors of 7258?
Answer: Factors of 7258 are 1, 2, 19, 38, 191, 382, 3629, 7258. There are 8 integers that are factors of 7258. The greatest factor of 7258 is 7258.
4. How to Find the GCF of 7254 and 7258?
Answer:
Greatest Common Factor of 7254 and 7258 = 2
Step 1: Find the prime factorization of 7254
7254 = 2 x 3 x 3 x 13 x 31
Step 2: Find the prime factorization of 7258
7258 = 2 x 19 x 191
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 7254 and 7258 is 2