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 1374, 1379 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1374 and 1379 is 1.
GCF(1374,1379) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1374
2 | 1374 |
3 | 687 |
229 | 229 |
1 |
Prime factors of 1374 are 2,3,229. Prime factorization of 1374 in exponential form is:
1374 = 21×31×2291
Prime Factorization of 1379
7 | 1379 |
197 | 197 |
1 |
Prime factors of 1379 are 7,197. Prime factorization of 1379 in exponential form is:
1379 = 71×1971
∴ So by taking common prime factors GCF of 1374 and 1379 is 1
Factors of 1374
List of positive integer factors of 1374 that divides 1374 without a remainder.
1,2,3,6,229,458,687,1374
Factors of 1379
List of positive integer factors of 1379 that divides 1379 without a remainder.
1,7,197,1379
Greatest Common Factor
We found the factors and prime factorization of 1374 and 1379. The biggest common factor number is the GCF number.
So the greatest common factor 1374 and 1379 is 1.
Also check out the Least Common Multiple of 1374 and 1379
(i) The GCF of 1374 and 1379 is associative
GCF of 1374 and 1379 = GCF of 1379 and 1374
1. What is the GCF of 1374 and 1379?
Answer: GCF of 1374 and 1379 is 1.
2. What are the Factors of 1374?
Answer: Factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374. There are 8 integers that are factors of 1374. The greatest factor of 1374 is 1374.
3. What are the Factors of 1379?
Answer: Factors of 1379 are 1, 7, 197, 1379. There are 4 integers that are factors of 1379. The greatest factor of 1379 is 1379.
4. How to Find the GCF of 1374 and 1379?
Answer:
Greatest Common Factor of 1374 and 1379 = 1
Step 1: Find the prime factorization of 1374
1374 = 2 x 3 x 229
Step 2: Find the prime factorization of 1379
1379 = 7 x 197
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 1374 and 1379 is 1