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 2355, 2358 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2355 and 2358 is 3.
GCF(2355,2358) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2355
3 | 2355 |
5 | 785 |
157 | 157 |
1 |
Prime factors of 2355 are 3,5,157. Prime factorization of 2355 in exponential form is:
2355 = 31×51×1571
Prime Factorization of 2358
2 | 2358 |
3 | 1179 |
3 | 393 |
131 | 131 |
1 |
Prime factors of 2358 are 2,3,131. Prime factorization of 2358 in exponential form is:
2358 = 21×32×1311
∴ So by taking common prime factors GCF of 2355 and 2358 is 3
Factors of 2355
List of positive integer factors of 2355 that divides 2355 without a remainder.
1,3,5,15,157,471,785,2355
Factors of 2358
List of positive integer factors of 2358 that divides 2358 without a remainder.
1,2,3,6,9,18,131,262,393,786,1179,2358
Greatest Common Factor
We found the factors and prime factorization of 2355 and 2358. The biggest common factor number is the GCF number.
So the greatest common factor 2355 and 2358 is 3.
Also check out the Least Common Multiple of 2355 and 2358
(i) The GCF of 2355 and 2358 is associative
GCF of 2355 and 2358 = GCF of 2358 and 2355
1. What is the GCF of 2355 and 2358?
Answer: GCF of 2355 and 2358 is 3.
2. What are the Factors of 2355?
Answer: Factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355. There are 8 integers that are factors of 2355. The greatest factor of 2355 is 2355.
3. What are the Factors of 2358?
Answer: Factors of 2358 are 1, 2, 3, 6, 9, 18, 131, 262, 393, 786, 1179, 2358. There are 12 integers that are factors of 2358. The greatest factor of 2358 is 2358.
4. How to Find the GCF of 2355 and 2358?
Answer:
Greatest Common Factor of 2355 and 2358 = 3
Step 1: Find the prime factorization of 2355
2355 = 3 x 5 x 157
Step 2: Find the prime factorization of 2358
2358 = 2 x 3 x 3 x 131
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2355 and 2358 is 3