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 3069, 3073 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3069 and 3073 is 1.
GCF(3069,3073) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3069
3 | 3069 |
3 | 1023 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 3069 are 3,11,31. Prime factorization of 3069 in exponential form is:
3069 = 32×111×311
Prime Factorization of 3073
7 | 3073 |
439 | 439 |
1 |
Prime factors of 3073 are 7,439. Prime factorization of 3073 in exponential form is:
3073 = 71×4391
∴ So by taking common prime factors GCF of 3069 and 3073 is 1
Factors of 3069
List of positive integer factors of 3069 that divides 3069 without a remainder.
1,3,9,11,31,33,93,99,279,341,1023,3069
Factors of 3073
List of positive integer factors of 3073 that divides 3073 without a remainder.
1,7,439,3073
Greatest Common Factor
We found the factors and prime factorization of 3069 and 3073. The biggest common factor number is the GCF number.
So the greatest common factor 3069 and 3073 is 1.
Also check out the Least Common Multiple of 3069 and 3073
(i) The GCF of 3069 and 3073 is associative
GCF of 3069 and 3073 = GCF of 3073 and 3069
1. What is the GCF of 3069 and 3073?
Answer: GCF of 3069 and 3073 is 1.
2. What are the Factors of 3069?
Answer: Factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069. There are 12 integers that are factors of 3069. The greatest factor of 3069 is 3069.
3. What are the Factors of 3073?
Answer: Factors of 3073 are 1, 7, 439, 3073. There are 4 integers that are factors of 3073. The greatest factor of 3073 is 3073.
4. How to Find the GCF of 3069 and 3073?
Answer:
Greatest Common Factor of 3069 and 3073 = 1
Step 1: Find the prime factorization of 3069
3069 = 3 x 3 x 11 x 31
Step 2: Find the prime factorization of 3073
3073 = 7 x 439
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 3069 and 3073 is 1