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 2364, 2370 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2364 and 2370 is 6.
GCF(2364,2370) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2364
2 | 2364 |
2 | 1182 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 2364 are 2,3,197. Prime factorization of 2364 in exponential form is:
2364 = 22×31×1971
Prime Factorization of 2370
2 | 2370 |
3 | 1185 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 2370 are 2,3,5,79. Prime factorization of 2370 in exponential form is:
2370 = 21×31×51×791
∴ So by taking common prime factors GCF of 2364 and 2370 is 6
Factors of 2364
List of positive integer factors of 2364 that divides 2364 without a remainder.
1,2,3,4,6,12,197,394,591,788,1182,2364
Factors of 2370
List of positive integer factors of 2370 that divides 2370 without a remainder.
1,2,3,5,6,10,15,30,79,158,237,395,474,790,1185,2370
Greatest Common Factor
We found the factors and prime factorization of 2364 and 2370. The biggest common factor number is the GCF number.
So the greatest common factor 2364 and 2370 is 6.
Also check out the Least Common Multiple of 2364 and 2370
(i) The GCF of 2364 and 2370 is associative
GCF of 2364 and 2370 = GCF of 2370 and 2364
1. What is the GCF of 2364 and 2370?
Answer: GCF of 2364 and 2370 is 6.
2. What are the Factors of 2364?
Answer: Factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364. There are 12 integers that are factors of 2364. The greatest factor of 2364 is 2364.
3. What are the Factors of 2370?
Answer: Factors of 2370 are 1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185, 2370. There are 16 integers that are factors of 2370. The greatest factor of 2370 is 2370.
4. How to Find the GCF of 2364 and 2370?
Answer:
Greatest Common Factor of 2364 and 2370 = 6
Step 1: Find the prime factorization of 2364
2364 = 2 x 2 x 3 x 197
Step 2: Find the prime factorization of 2370
2370 = 2 x 3 x 5 x 79
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 2364 and 2370 is 6