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, 2375 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2374 and 2375 is 1.
GCF(2374,2375) = 1
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 2375
5 | 2375 |
5 | 475 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 2375 are 5,19. Prime factorization of 2375 in exponential form is:
2375 = 53×191
∴ So by taking common prime factors GCF of 2374 and 2375 is 1
Factors of 2374
List of positive integer factors of 2374 that divides 2374 without a remainder.
1,2,1187,2374
Factors of 2375
List of positive integer factors of 2375 that divides 2375 without a remainder.
1,5,19,25,95,125,475,2375
Greatest Common Factor
We found the factors and prime factorization of 2374 and 2375. The biggest common factor number is the GCF number.
So the greatest common factor 2374 and 2375 is 1.
Also check out the Least Common Multiple of 2374 and 2375
(i) The GCF of 2374 and 2375 is associative
GCF of 2374 and 2375 = GCF of 2375 and 2374
1. What is the GCF of 2374 and 2375?
Answer: GCF of 2374 and 2375 is 1.
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 2375?
Answer: Factors of 2375 are 1, 5, 19, 25, 95, 125, 475, 2375. There are 8 integers that are factors of 2375. The greatest factor of 2375 is 2375.
4. How to Find the GCF of 2374 and 2375?
Answer:
Greatest Common Factor of 2374 and 2375 = 1
Step 1: Find the prime factorization of 2374
2374 = 2 x 1187
Step 2: Find the prime factorization of 2375
2375 = 5 x 5 x 5 x 19
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 2374 and 2375 is 1