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 7269, 7277 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7269 and 7277 is 1.
GCF(7269,7277) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7269
3 | 7269 |
2423 | 2423 |
1 |
Prime factors of 7269 are 3,2423. Prime factorization of 7269 in exponential form is:
7269 = 31×24231
Prime Factorization of 7277
19 | 7277 |
383 | 383 |
1 |
Prime factors of 7277 are 19,383. Prime factorization of 7277 in exponential form is:
7277 = 191×3831
∴ So by taking common prime factors GCF of 7269 and 7277 is 1
Factors of 7269
List of positive integer factors of 7269 that divides 7269 without a remainder.
1,3,2423,7269
Factors of 7277
List of positive integer factors of 7277 that divides 7277 without a remainder.
1,19,383,7277
Greatest Common Factor
We found the factors and prime factorization of 7269 and 7277. The biggest common factor number is the GCF number.
So the greatest common factor 7269 and 7277 is 1.
Also check out the Least Common Multiple of 7269 and 7277
(i) The GCF of 7269 and 7277 is associative
GCF of 7269 and 7277 = GCF of 7277 and 7269
1. What is the GCF of 7269 and 7277?
Answer: GCF of 7269 and 7277 is 1.
2. What are the Factors of 7269?
Answer: Factors of 7269 are 1, 3, 2423, 7269. There are 4 integers that are factors of 7269. The greatest factor of 7269 is 7269.
3. What are the Factors of 7277?
Answer: Factors of 7277 are 1, 19, 383, 7277. There are 4 integers that are factors of 7277. The greatest factor of 7277 is 7277.
4. How to Find the GCF of 7269 and 7277?
Answer:
Greatest Common Factor of 7269 and 7277 = 1
Step 1: Find the prime factorization of 7269
7269 = 3 x 2423
Step 2: Find the prime factorization of 7277
7277 = 19 x 383
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 7269 and 7277 is 1