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 3026, 3031 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3026 and 3031 is 1.
GCF(3026,3031) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3026
2 | 3026 |
17 | 1513 |
89 | 89 |
1 |
Prime factors of 3026 are 2,17,89. Prime factorization of 3026 in exponential form is:
3026 = 21×171×891
Prime Factorization of 3031
7 | 3031 |
433 | 433 |
1 |
Prime factors of 3031 are 7,433. Prime factorization of 3031 in exponential form is:
3031 = 71×4331
∴ So by taking common prime factors GCF of 3026 and 3031 is 1
Factors of 3026
List of positive integer factors of 3026 that divides 3026 without a remainder.
1,2,17,34,89,178,1513,3026
Factors of 3031
List of positive integer factors of 3031 that divides 3031 without a remainder.
1,7,433,3031
Greatest Common Factor
We found the factors and prime factorization of 3026 and 3031. The biggest common factor number is the GCF number.
So the greatest common factor 3026 and 3031 is 1.
Also check out the Least Common Multiple of 3026 and 3031
(i) The GCF of 3026 and 3031 is associative
GCF of 3026 and 3031 = GCF of 3031 and 3026
1. What is the GCF of 3026 and 3031?
Answer: GCF of 3026 and 3031 is 1.
2. What are the Factors of 3026?
Answer: Factors of 3026 are 1, 2, 17, 34, 89, 178, 1513, 3026. There are 8 integers that are factors of 3026. The greatest factor of 3026 is 3026.
3. What are the Factors of 3031?
Answer: Factors of 3031 are 1, 7, 433, 3031. There are 4 integers that are factors of 3031. The greatest factor of 3031 is 3031.
4. How to Find the GCF of 3026 and 3031?
Answer:
Greatest Common Factor of 3026 and 3031 = 1
Step 1: Find the prime factorization of 3026
3026 = 2 x 17 x 89
Step 2: Find the prime factorization of 3031
3031 = 7 x 433
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 3026 and 3031 is 1