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 7074, 7079 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7074 and 7079 is 1.
GCF(7074,7079) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7079
7079 | 7079 |
1 |
Prime factors of 7079 are 7079. Prime factorization of 7079 in exponential form is:
7079 = 70791
∴ So by taking common prime factors GCF of 7074 and 7079 is 1
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
Factors of 7079
List of positive integer factors of 7079 that divides 7079 without a remainder.
1,7079
Greatest Common Factor
We found the factors and prime factorization of 7074 and 7079. The biggest common factor number is the GCF number.
So the greatest common factor 7074 and 7079 is 1.
Also check out the Least Common Multiple of 7074 and 7079
(i) The GCF of 7074 and 7079 is associative
GCF of 7074 and 7079 = GCF of 7079 and 7074
1. What is the GCF of 7074 and 7079?
Answer: GCF of 7074 and 7079 is 1.
2. 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.
3. What are the Factors of 7079?
Answer: Factors of 7079 are 1, 7079. There are 2 integers that are factors of 7079. The greatest factor of 7079 is 7079.
4. How to Find the GCF of 7074 and 7079?
Answer:
Greatest Common Factor of 7074 and 7079 = 1
Step 1: Find the prime factorization of 7074
7074 = 2 x 3 x 3 x 3 x 131
Step 2: Find the prime factorization of 7079
7079 = 7079
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 7074 and 7079 is 1