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 7271, 7279 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7271 and 7279 is 1.
GCF(7271,7279) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7271
11 | 7271 |
661 | 661 |
1 |
Prime factors of 7271 are 11,661. Prime factorization of 7271 in exponential form is:
7271 = 111×6611
Prime Factorization of 7279
29 | 7279 |
251 | 251 |
1 |
Prime factors of 7279 are 29,251. Prime factorization of 7279 in exponential form is:
7279 = 291×2511
∴ So by taking common prime factors GCF of 7271 and 7279 is 1
Factors of 7271
List of positive integer factors of 7271 that divides 7271 without a remainder.
1,11,661,7271
Factors of 7279
List of positive integer factors of 7279 that divides 7279 without a remainder.
1,29,251,7279
Greatest Common Factor
We found the factors and prime factorization of 7271 and 7279. The biggest common factor number is the GCF number.
So the greatest common factor 7271 and 7279 is 1.
Also check out the Least Common Multiple of 7271 and 7279
(i) The GCF of 7271 and 7279 is associative
GCF of 7271 and 7279 = GCF of 7279 and 7271
1. What is the GCF of 7271 and 7279?
Answer: GCF of 7271 and 7279 is 1.
2. What are the Factors of 7271?
Answer: Factors of 7271 are 1, 11, 661, 7271. There are 4 integers that are factors of 7271. The greatest factor of 7271 is 7271.
3. What are the Factors of 7279?
Answer: Factors of 7279 are 1, 29, 251, 7279. There are 4 integers that are factors of 7279. The greatest factor of 7279 is 7279.
4. How to Find the GCF of 7271 and 7279?
Answer:
Greatest Common Factor of 7271 and 7279 = 1
Step 1: Find the prime factorization of 7271
7271 = 11 x 661
Step 2: Find the prime factorization of 7279
7279 = 29 x 251
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 7271 and 7279 is 1