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 2374, 2382 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2374 and 2382 is 2.
GCF(2374,2382) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2374
2 | 2374 |
1187 | 1187 |
1 |
Prime factors of 2374 are 2,1187. Prime factorization of 2374 in exponential form is:
2374 = 21×11871
Prime Factorization of 2382
2 | 2382 |
3 | 1191 |
397 | 397 |
1 |
Prime factors of 2382 are 2,3,397. Prime factorization of 2382 in exponential form is:
2382 = 21×31×3971
∴ So by taking common prime factors GCF of 2374 and 2382 is 2
Factors of 2374
List of positive integer factors of 2374 that divides 2374 without a remainder.
1,2,1187,2374
Factors of 2382
List of positive integer factors of 2382 that divides 2382 without a remainder.
1,2,3,6,397,794,1191,2382
Greatest Common Factor
We found the factors and prime factorization of 2374 and 2382. The biggest common factor number is the GCF number.
So the greatest common factor 2374 and 2382 is 2.
Also check out the Least Common Multiple of 2374 and 2382
(i) The GCF of 2374 and 2382 is associative
GCF of 2374 and 2382 = GCF of 2382 and 2374
1. What is the GCF of 2374 and 2382?
Answer: GCF of 2374 and 2382 is 2.
2. What are the Factors of 2374?
Answer: Factors of 2374 are 1, 2, 1187, 2374. There are 4 integers that are factors of 2374. The greatest factor of 2374 is 2374.
3. What are the Factors of 2382?
Answer: Factors of 2382 are 1, 2, 3, 6, 397, 794, 1191, 2382. There are 8 integers that are factors of 2382. The greatest factor of 2382 is 2382.
4. How to Find the GCF of 2374 and 2382?
Answer:
Greatest Common Factor of 2374 and 2382 = 2
Step 1: Find the prime factorization of 2374
2374 = 2 x 1187
Step 2: Find the prime factorization of 2382
2382 = 2 x 3 x 397
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2374 and 2382 is 2