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 7266, 7268 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7266 and 7268 is 2.
GCF(7266,7268) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7266
2 | 7266 |
3 | 3633 |
7 | 1211 |
173 | 173 |
1 |
Prime factors of 7266 are 2,3,7,173. Prime factorization of 7266 in exponential form is:
7266 = 21×31×71×1731
Prime Factorization of 7268
2 | 7268 |
2 | 3634 |
23 | 1817 |
79 | 79 |
1 |
Prime factors of 7268 are 2,23,79. Prime factorization of 7268 in exponential form is:
7268 = 22×231×791
∴ So by taking common prime factors GCF of 7266 and 7268 is 2
Factors of 7266
List of positive integer factors of 7266 that divides 7266 without a remainder.
1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Factors of 7268
List of positive integer factors of 7268 that divides 7268 without a remainder.
1,2,4,23,46,79,92,158,316,1817,3634,7268
Greatest Common Factor
We found the factors and prime factorization of 7266 and 7268. The biggest common factor number is the GCF number.
So the greatest common factor 7266 and 7268 is 2.
Also check out the Least Common Multiple of 7266 and 7268
(i) The GCF of 7266 and 7268 is associative
GCF of 7266 and 7268 = GCF of 7268 and 7266
1. What is the GCF of 7266 and 7268?
Answer: GCF of 7266 and 7268 is 2.
2. What are the Factors of 7266?
Answer: Factors of 7266 are 1, 2, 3, 6, 7, 14, 21, 42, 173, 346, 519, 1038, 1211, 2422, 3633, 7266. There are 16 integers that are factors of 7266. The greatest factor of 7266 is 7266.
3. What are the Factors of 7268?
Answer: Factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268. There are 12 integers that are factors of 7268. The greatest factor of 7268 is 7268.
4. How to Find the GCF of 7266 and 7268?
Answer:
Greatest Common Factor of 7266 and 7268 = 2
Step 1: Find the prime factorization of 7266
7266 = 2 x 3 x 7 x 173
Step 2: Find the prime factorization of 7268
7268 = 2 x 2 x 23 x 79
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 7266 and 7268 is 2