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 9053, 9058 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9053 and 9058 is 1.
GCF(9053,9058) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9053
11 | 9053 |
823 | 823 |
1 |
Prime factors of 9053 are 11,823. Prime factorization of 9053 in exponential form is:
9053 = 111×8231
Prime Factorization of 9058
2 | 9058 |
7 | 4529 |
647 | 647 |
1 |
Prime factors of 9058 are 2,7,647. Prime factorization of 9058 in exponential form is:
9058 = 21×71×6471
∴ So by taking common prime factors GCF of 9053 and 9058 is 1
Factors of 9053
List of positive integer factors of 9053 that divides 9053 without a remainder.
1,11,823,9053
Factors of 9058
List of positive integer factors of 9058 that divides 9058 without a remainder.
1,2,7,14,647,1294,4529,9058
Greatest Common Factor
We found the factors and prime factorization of 9053 and 9058. The biggest common factor number is the GCF number.
So the greatest common factor 9053 and 9058 is 1.
Also check out the Least Common Multiple of 9053 and 9058
(i) The GCF of 9053 and 9058 is associative
GCF of 9053 and 9058 = GCF of 9058 and 9053
1. What is the GCF of 9053 and 9058?
Answer: GCF of 9053 and 9058 is 1.
2. What are the Factors of 9053?
Answer: Factors of 9053 are 1, 11, 823, 9053. There are 4 integers that are factors of 9053. The greatest factor of 9053 is 9053.
3. What are the Factors of 9058?
Answer: Factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058. There are 8 integers that are factors of 9058. The greatest factor of 9058 is 9058.
4. How to Find the GCF of 9053 and 9058?
Answer:
Greatest Common Factor of 9053 and 9058 = 1
Step 1: Find the prime factorization of 9053
9053 = 11 x 823
Step 2: Find the prime factorization of 9058
9058 = 2 x 7 x 647
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 9053 and 9058 is 1