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 2157, 2165 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2157 and 2165 is 1.
GCF(2157,2165) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2157
3 | 2157 |
719 | 719 |
1 |
Prime factors of 2157 are 3,719. Prime factorization of 2157 in exponential form is:
2157 = 31×7191
Prime Factorization of 2165
5 | 2165 |
433 | 433 |
1 |
Prime factors of 2165 are 5,433. Prime factorization of 2165 in exponential form is:
2165 = 51×4331
∴ So by taking common prime factors GCF of 2157 and 2165 is 1
Factors of 2157
List of positive integer factors of 2157 that divides 2157 without a remainder.
1,3,719,2157
Factors of 2165
List of positive integer factors of 2165 that divides 2165 without a remainder.
1,5,433,2165
Greatest Common Factor
We found the factors and prime factorization of 2157 and 2165. The biggest common factor number is the GCF number.
So the greatest common factor 2157 and 2165 is 1.
Also check out the Least Common Multiple of 2157 and 2165
(i) The GCF of 2157 and 2165 is associative
GCF of 2157 and 2165 = GCF of 2165 and 2157
1. What is the GCF of 2157 and 2165?
Answer: GCF of 2157 and 2165 is 1.
2. What are the Factors of 2157?
Answer: Factors of 2157 are 1, 3, 719, 2157. There are 4 integers that are factors of 2157. The greatest factor of 2157 is 2157.
3. What are the Factors of 2165?
Answer: Factors of 2165 are 1, 5, 433, 2165. There are 4 integers that are factors of 2165. The greatest factor of 2165 is 2165.
4. How to Find the GCF of 2157 and 2165?
Answer:
Greatest Common Factor of 2157 and 2165 = 1
Step 1: Find the prime factorization of 2157
2157 = 3 x 719
Step 2: Find the prime factorization of 2165
2165 = 5 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 2157 and 2165 is 1