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 7073, 7074 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7073 and 7074 is 1.
GCF(7073,7074) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7073
11 | 7073 |
643 | 643 |
1 |
Prime factors of 7073 are 11,643. Prime factorization of 7073 in exponential form is:
7073 = 111×6431
Prime Factorization of 7074
2 | 7074 |
3 | 3537 |
3 | 1179 |
3 | 393 |
131 | 131 |
1 |
Prime factors of 7074 are 2,3,131. Prime factorization of 7074 in exponential form is:
7074 = 21×33×1311
∴ So by taking common prime factors GCF of 7073 and 7074 is 1
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1,11,643,7073
Factors of 7074
List of positive integer factors of 7074 that divides 7074 without a remainder.
1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074
Greatest Common Factor
We found the factors and prime factorization of 7073 and 7074. The biggest common factor number is the GCF number.
So the greatest common factor 7073 and 7074 is 1.
Also check out the Least Common Multiple of 7073 and 7074
(i) The GCF of 7073 and 7074 is associative
GCF of 7073 and 7074 = GCF of 7074 and 7073
1. What is the GCF of 7073 and 7074?
Answer: GCF of 7073 and 7074 is 1.
2. What are the Factors of 7073?
Answer: Factors of 7073 are 1, 11, 643, 7073. There are 4 integers that are factors of 7073. The greatest factor of 7073 is 7073.
3. What are the Factors of 7074?
Answer: Factors of 7074 are 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074. There are 16 integers that are factors of 7074. The greatest factor of 7074 is 7074.
4. How to Find the GCF of 7073 and 7074?
Answer:
Greatest Common Factor of 7073 and 7074 = 1
Step 1: Find the prime factorization of 7073
7073 = 11 x 643
Step 2: Find the prime factorization of 7074
7074 = 2 x 3 x 3 x 3 x 131
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 7073 and 7074 is 1