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 9074, 9079 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9074 and 9079 is 1.
GCF(9074,9079) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9074
2 | 9074 |
13 | 4537 |
349 | 349 |
1 |
Prime factors of 9074 are 2,13,349. Prime factorization of 9074 in exponential form is:
9074 = 21×131×3491
Prime Factorization of 9079
7 | 9079 |
1297 | 1297 |
1 |
Prime factors of 9079 are 7,1297. Prime factorization of 9079 in exponential form is:
9079 = 71×12971
∴ So by taking common prime factors GCF of 9074 and 9079 is 1
Factors of 9074
List of positive integer factors of 9074 that divides 9074 without a remainder.
1,2,13,26,349,698,4537,9074
Factors of 9079
List of positive integer factors of 9079 that divides 9079 without a remainder.
1,7,1297,9079
Greatest Common Factor
We found the factors and prime factorization of 9074 and 9079. The biggest common factor number is the GCF number.
So the greatest common factor 9074 and 9079 is 1.
Also check out the Least Common Multiple of 9074 and 9079
(i) The GCF of 9074 and 9079 is associative
GCF of 9074 and 9079 = GCF of 9079 and 9074
1. What is the GCF of 9074 and 9079?
Answer: GCF of 9074 and 9079 is 1.
2. What are the Factors of 9074?
Answer: Factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074. There are 8 integers that are factors of 9074. The greatest factor of 9074 is 9074.
3. What are the Factors of 9079?
Answer: Factors of 9079 are 1, 7, 1297, 9079. There are 4 integers that are factors of 9079. The greatest factor of 9079 is 9079.
4. How to Find the GCF of 9074 and 9079?
Answer:
Greatest Common Factor of 9074 and 9079 = 1
Step 1: Find the prime factorization of 9074
9074 = 2 x 13 x 349
Step 2: Find the prime factorization of 9079
9079 = 7 x 1297
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 9074 and 9079 is 1