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, 7277 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7270 and 7277 is 1.
GCF(7270,7277) = 1
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 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 7270 and 7277 is 1
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 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 7270 and 7277. The biggest common factor number is the GCF number.
So the greatest common factor 7270 and 7277 is 1.
Also check out the Least Common Multiple of 7270 and 7277
(i) The GCF of 7270 and 7277 is associative
GCF of 7270 and 7277 = GCF of 7277 and 7270
1. What is the GCF of 7270 and 7277?
Answer: GCF of 7270 and 7277 is 1.
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 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 7270 and 7277?
Answer:
Greatest Common Factor of 7270 and 7277 = 1
Step 1: Find the prime factorization of 7270
7270 = 2 x 5 x 727
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 7270 and 7277 is 1