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 7093, 7098 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7093 and 7098 is 1.
GCF(7093,7098) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7093
41 | 7093 |
173 | 173 |
1 |
Prime factors of 7093 are 41,173. Prime factorization of 7093 in exponential form is:
7093 = 411×1731
Prime Factorization of 7098
2 | 7098 |
3 | 3549 |
7 | 1183 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 7098 are 2,3,7,13. Prime factorization of 7098 in exponential form is:
7098 = 21×31×71×132
∴ So by taking common prime factors GCF of 7093 and 7098 is 1
Factors of 7093
List of positive integer factors of 7093 that divides 7093 without a remainder.
1,41,173,7093
Factors of 7098
List of positive integer factors of 7098 that divides 7098 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098
Greatest Common Factor
We found the factors and prime factorization of 7093 and 7098. The biggest common factor number is the GCF number.
So the greatest common factor 7093 and 7098 is 1.
Also check out the Least Common Multiple of 7093 and 7098
(i) The GCF of 7093 and 7098 is associative
GCF of 7093 and 7098 = GCF of 7098 and 7093
1. What is the GCF of 7093 and 7098?
Answer: GCF of 7093 and 7098 is 1.
2. What are the Factors of 7093?
Answer: Factors of 7093 are 1, 41, 173, 7093. There are 4 integers that are factors of 7093. The greatest factor of 7093 is 7093.
3. What are the Factors of 7098?
Answer: Factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098. There are 24 integers that are factors of 7098. The greatest factor of 7098 is 7098.
4. How to Find the GCF of 7093 and 7098?
Answer:
Greatest Common Factor of 7093 and 7098 = 1
Step 1: Find the prime factorization of 7093
7093 = 41 x 173
Step 2: Find the prime factorization of 7098
7098 = 2 x 3 x 7 x 13 x 13
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 7093 and 7098 is 1