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 7270, 7276 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7270 and 7276 is 2.
GCF(7270,7276) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7270
2 | 7270 |
5 | 3635 |
727 | 727 |
1 |
Prime factors of 7270 are 2,5,727. Prime factorization of 7270 in exponential form is:
7270 = 21×51×7271
Prime Factorization of 7276
2 | 7276 |
2 | 3638 |
17 | 1819 |
107 | 107 |
1 |
Prime factors of 7276 are 2,17,107. Prime factorization of 7276 in exponential form is:
7276 = 22×171×1071
∴ So by taking common prime factors GCF of 7270 and 7276 is 2
Factors of 7270
List of positive integer factors of 7270 that divides 7270 without a remainder.
1,2,5,10,727,1454,3635,7270
Factors of 7276
List of positive integer factors of 7276 that divides 7276 without a remainder.
1,2,4,17,34,68,107,214,428,1819,3638,7276
Greatest Common Factor
We found the factors and prime factorization of 7270 and 7276. The biggest common factor number is the GCF number.
So the greatest common factor 7270 and 7276 is 2.
Also check out the Least Common Multiple of 7270 and 7276
(i) The GCF of 7270 and 7276 is associative
GCF of 7270 and 7276 = GCF of 7276 and 7270
1. What is the GCF of 7270 and 7276?
Answer: GCF of 7270 and 7276 is 2.
2. What are the Factors of 7270?
Answer: Factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270. There are 8 integers that are factors of 7270. The greatest factor of 7270 is 7270.
3. What are the Factors of 7276?
Answer: Factors of 7276 are 1, 2, 4, 17, 34, 68, 107, 214, 428, 1819, 3638, 7276. There are 12 integers that are factors of 7276. The greatest factor of 7276 is 7276.
4. How to Find the GCF of 7270 and 7276?
Answer:
Greatest Common Factor of 7270 and 7276 = 2
Step 1: Find the prime factorization of 7270
7270 = 2 x 5 x 727
Step 2: Find the prime factorization of 7276
7276 = 2 x 2 x 17 x 107
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 7270 and 7276 is 2