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 374, 379 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 374 and 379 is 1.
GCF(374,379) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 374
2 | 374 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 374 are 2,11,17. Prime factorization of 374 in exponential form is:
374 = 21×111×171
Prime Factorization of 379
379 | 379 |
1 |
Prime factors of 379 are 379. Prime factorization of 379 in exponential form is:
379 = 3791
∴ So by taking common prime factors GCF of 374 and 379 is 1
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Greatest Common Factor
We found the factors and prime factorization of 374 and 379. The biggest common factor number is the GCF number.
So the greatest common factor 374 and 379 is 1.
Also check out the Least Common Multiple of 374 and 379
(i) The GCF of 374 and 379 is associative
GCF of 374 and 379 = GCF of 379 and 374
1. What is the GCF of 374 and 379?
Answer: GCF of 374 and 379 is 1.
2. What are the Factors of 374?
Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.
3. What are the Factors of 379?
Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.
4. How to Find the GCF of 374 and 379?
Answer:
Greatest Common Factor of 374 and 379 = 1
Step 1: Find the prime factorization of 374
374 = 2 x 11 x 17
Step 2: Find the prime factorization of 379
379 = 379
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 374 and 379 is 1