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 3074, 3079 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3074 and 3079 is 1.
GCF(3074,3079) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3074
2 | 3074 |
29 | 1537 |
53 | 53 |
1 |
Prime factors of 3074 are 2,29,53. Prime factorization of 3074 in exponential form is:
3074 = 21×291×531
Prime Factorization of 3079
3079 | 3079 |
1 |
Prime factors of 3079 are 3079. Prime factorization of 3079 in exponential form is:
3079 = 30791
∴ So by taking common prime factors GCF of 3074 and 3079 is 1
Factors of 3074
List of positive integer factors of 3074 that divides 3074 without a remainder.
1,2,29,53,58,106,1537,3074
Factors of 3079
List of positive integer factors of 3079 that divides 3079 without a remainder.
1,3079
Greatest Common Factor
We found the factors and prime factorization of 3074 and 3079. The biggest common factor number is the GCF number.
So the greatest common factor 3074 and 3079 is 1.
Also check out the Least Common Multiple of 3074 and 3079
(i) The GCF of 3074 and 3079 is associative
GCF of 3074 and 3079 = GCF of 3079 and 3074
1. What is the GCF of 3074 and 3079?
Answer: GCF of 3074 and 3079 is 1.
2. What are the Factors of 3074?
Answer: Factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074. There are 8 integers that are factors of 3074. The greatest factor of 3074 is 3074.
3. What are the Factors of 3079?
Answer: Factors of 3079 are 1, 3079. There are 2 integers that are factors of 3079. The greatest factor of 3079 is 3079.
4. How to Find the GCF of 3074 and 3079?
Answer:
Greatest Common Factor of 3074 and 3079 = 1
Step 1: Find the prime factorization of 3074
3074 = 2 x 29 x 53
Step 2: Find the prime factorization of 3079
3079 = 3079
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 3074 and 3079 is 1