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 3115, 3123 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3115 and 3123 is 1.
GCF(3115,3123) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3115
5 | 3115 |
7 | 623 |
89 | 89 |
1 |
Prime factors of 3115 are 5,7,89. Prime factorization of 3115 in exponential form is:
3115 = 51×71×891
Prime Factorization of 3123
3 | 3123 |
3 | 1041 |
347 | 347 |
1 |
Prime factors of 3123 are 3,347. Prime factorization of 3123 in exponential form is:
3123 = 32×3471
∴ So by taking common prime factors GCF of 3115 and 3123 is 1
Factors of 3115
List of positive integer factors of 3115 that divides 3115 without a remainder.
1,5,7,35,89,445,623,3115
Factors of 3123
List of positive integer factors of 3123 that divides 3123 without a remainder.
1,3,9,347,1041,3123
Greatest Common Factor
We found the factors and prime factorization of 3115 and 3123. The biggest common factor number is the GCF number.
So the greatest common factor 3115 and 3123 is 1.
Also check out the Least Common Multiple of 3115 and 3123
(i) The GCF of 3115 and 3123 is associative
GCF of 3115 and 3123 = GCF of 3123 and 3115
1. What is the GCF of 3115 and 3123?
Answer: GCF of 3115 and 3123 is 1.
2. What are the Factors of 3115?
Answer: Factors of 3115 are 1, 5, 7, 35, 89, 445, 623, 3115. There are 8 integers that are factors of 3115. The greatest factor of 3115 is 3115.
3. What are the Factors of 3123?
Answer: Factors of 3123 are 1, 3, 9, 347, 1041, 3123. There are 6 integers that are factors of 3123. The greatest factor of 3123 is 3123.
4. How to Find the GCF of 3115 and 3123?
Answer:
Greatest Common Factor of 3115 and 3123 = 1
Step 1: Find the prime factorization of 3115
3115 = 5 x 7 x 89
Step 2: Find the prime factorization of 3123
3123 = 3 x 3 x 347
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 3115 and 3123 is 1