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 3160, 3161 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3160 and 3161 is 1.
GCF(3160,3161) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3160
2 | 3160 |
2 | 1580 |
2 | 790 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 3160 are 2,5,79. Prime factorization of 3160 in exponential form is:
3160 = 23×51×791
Prime Factorization of 3161
29 | 3161 |
109 | 109 |
1 |
Prime factors of 3161 are 29,109. Prime factorization of 3161 in exponential form is:
3161 = 291×1091
∴ So by taking common prime factors GCF of 3160 and 3161 is 1
Factors of 3160
List of positive integer factors of 3160 that divides 3160 without a remainder.
1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Factors of 3161
List of positive integer factors of 3161 that divides 3161 without a remainder.
1,29,109,3161
Greatest Common Factor
We found the factors and prime factorization of 3160 and 3161. The biggest common factor number is the GCF number.
So the greatest common factor 3160 and 3161 is 1.
Also check out the Least Common Multiple of 3160 and 3161
(i) The GCF of 3160 and 3161 is associative
GCF of 3160 and 3161 = GCF of 3161 and 3160
1. What is the GCF of 3160 and 3161?
Answer: GCF of 3160 and 3161 is 1.
2. What are the Factors of 3160?
Answer: Factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160. There are 16 integers that are factors of 3160. The greatest factor of 3160 is 3160.
3. What are the Factors of 3161?
Answer: Factors of 3161 are 1, 29, 109, 3161. There are 4 integers that are factors of 3161. The greatest factor of 3161 is 3161.
4. How to Find the GCF of 3160 and 3161?
Answer:
Greatest Common Factor of 3160 and 3161 = 1
Step 1: Find the prime factorization of 3160
3160 = 2 x 2 x 2 x 5 x 79
Step 2: Find the prime factorization of 3161
3161 = 29 x 109
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 3160 and 3161 is 1