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 9455, 9457 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9455 and 9457 is 1.
GCF(9455,9457) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9455
5 | 9455 |
31 | 1891 |
61 | 61 |
1 |
Prime factors of 9455 are 5,31,61. Prime factorization of 9455 in exponential form is:
9455 = 51×311×611
Prime Factorization of 9457
7 | 9457 |
7 | 1351 |
193 | 193 |
1 |
Prime factors of 9457 are 7,193. Prime factorization of 9457 in exponential form is:
9457 = 72×1931
∴ So by taking common prime factors GCF of 9455 and 9457 is 1
Factors of 9455
List of positive integer factors of 9455 that divides 9455 without a remainder.
1,5,31,61,155,305,1891,9455
Factors of 9457
List of positive integer factors of 9457 that divides 9457 without a remainder.
1,7,49,193,1351,9457
Greatest Common Factor
We found the factors and prime factorization of 9455 and 9457. The biggest common factor number is the GCF number.
So the greatest common factor 9455 and 9457 is 1.
Also check out the Least Common Multiple of 9455 and 9457
(i) The GCF of 9455 and 9457 is associative
GCF of 9455 and 9457 = GCF of 9457 and 9455
1. What is the GCF of 9455 and 9457?
Answer: GCF of 9455 and 9457 is 1.
2. What are the Factors of 9455?
Answer: Factors of 9455 are 1, 5, 31, 61, 155, 305, 1891, 9455. There are 8 integers that are factors of 9455. The greatest factor of 9455 is 9455.
3. What are the Factors of 9457?
Answer: Factors of 9457 are 1, 7, 49, 193, 1351, 9457. There are 6 integers that are factors of 9457. The greatest factor of 9457 is 9457.
4. How to Find the GCF of 9455 and 9457?
Answer:
Greatest Common Factor of 9455 and 9457 = 1
Step 1: Find the prime factorization of 9455
9455 = 5 x 31 x 61
Step 2: Find the prime factorization of 9457
9457 = 7 x 7 x 193
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 9455 and 9457 is 1