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 2190, 2195 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2190 and 2195 is 5.
GCF(2190,2195) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2190
2 | 2190 |
3 | 1095 |
5 | 365 |
73 | 73 |
1 |
Prime factors of 2190 are 2,3,5,73. Prime factorization of 2190 in exponential form is:
2190 = 21×31×51×731
Prime Factorization of 2195
5 | 2195 |
439 | 439 |
1 |
Prime factors of 2195 are 5,439. Prime factorization of 2195 in exponential form is:
2195 = 51×4391
∴ So by taking common prime factors GCF of 2190 and 2195 is 5
Factors of 2190
List of positive integer factors of 2190 that divides 2190 without a remainder.
1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190
Factors of 2195
List of positive integer factors of 2195 that divides 2195 without a remainder.
1,5,439,2195
Greatest Common Factor
We found the factors and prime factorization of 2190 and 2195. The biggest common factor number is the GCF number.
So the greatest common factor 2190 and 2195 is 5.
Also check out the Least Common Multiple of 2190 and 2195
(i) The GCF of 2190 and 2195 is associative
GCF of 2190 and 2195 = GCF of 2195 and 2190
1. What is the GCF of 2190 and 2195?
Answer: GCF of 2190 and 2195 is 5.
2. What are the Factors of 2190?
Answer: Factors of 2190 are 1, 2, 3, 5, 6, 10, 15, 30, 73, 146, 219, 365, 438, 730, 1095, 2190. There are 16 integers that are factors of 2190. The greatest factor of 2190 is 2190.
3. What are the Factors of 2195?
Answer: Factors of 2195 are 1, 5, 439, 2195. There are 4 integers that are factors of 2195. The greatest factor of 2195 is 2195.
4. How to Find the GCF of 2190 and 2195?
Answer:
Greatest Common Factor of 2190 and 2195 = 5
Step 1: Find the prime factorization of 2190
2190 = 2 x 3 x 5 x 73
Step 2: Find the prime factorization of 2195
2195 = 5 x 439
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 2190 and 2195 is 5