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 3128, 3133 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3128 and 3133 is 1.
GCF(3128,3133) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3128
2 | 3128 |
2 | 1564 |
2 | 782 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 3128 are 2,17,23. Prime factorization of 3128 in exponential form is:
3128 = 23×171×231
Prime Factorization of 3133
13 | 3133 |
241 | 241 |
1 |
Prime factors of 3133 are 13,241. Prime factorization of 3133 in exponential form is:
3133 = 131×2411
∴ So by taking common prime factors GCF of 3128 and 3133 is 1
Factors of 3128
List of positive integer factors of 3128 that divides 3128 without a remainder.
1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128
Factors of 3133
List of positive integer factors of 3133 that divides 3133 without a remainder.
1,13,241,3133
Greatest Common Factor
We found the factors and prime factorization of 3128 and 3133. The biggest common factor number is the GCF number.
So the greatest common factor 3128 and 3133 is 1.
Also check out the Least Common Multiple of 3128 and 3133
(i) The GCF of 3128 and 3133 is associative
GCF of 3128 and 3133 = GCF of 3133 and 3128
1. What is the GCF of 3128 and 3133?
Answer: GCF of 3128 and 3133 is 1.
2. What are the Factors of 3128?
Answer: Factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128. There are 16 integers that are factors of 3128. The greatest factor of 3128 is 3128.
3. What are the Factors of 3133?
Answer: Factors of 3133 are 1, 13, 241, 3133. There are 4 integers that are factors of 3133. The greatest factor of 3133 is 3133.
4. How to Find the GCF of 3128 and 3133?
Answer:
Greatest Common Factor of 3128 and 3133 = 1
Step 1: Find the prime factorization of 3128
3128 = 2 x 2 x 2 x 17 x 23
Step 2: Find the prime factorization of 3133
3133 = 13 x 241
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 3128 and 3133 is 1