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 1375, 1381 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1375 and 1381 is 1.
GCF(1375,1381) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1375
5 | 1375 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 1375 are 5,11. Prime factorization of 1375 in exponential form is:
1375 = 53×111
Prime Factorization of 1381
1381 | 1381 |
1 |
Prime factors of 1381 are 1381. Prime factorization of 1381 in exponential form is:
1381 = 13811
∴ So by taking common prime factors GCF of 1375 and 1381 is 1
Factors of 1375
List of positive integer factors of 1375 that divides 1375 without a remainder.
1,5,11,25,55,125,275,1375
Factors of 1381
List of positive integer factors of 1381 that divides 1381 without a remainder.
1,1381
Greatest Common Factor
We found the factors and prime factorization of 1375 and 1381. The biggest common factor number is the GCF number.
So the greatest common factor 1375 and 1381 is 1.
Also check out the Least Common Multiple of 1375 and 1381
(i) The GCF of 1375 and 1381 is associative
GCF of 1375 and 1381 = GCF of 1381 and 1375
1. What is the GCF of 1375 and 1381?
Answer: GCF of 1375 and 1381 is 1.
2. What are the Factors of 1375?
Answer: Factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375. There are 8 integers that are factors of 1375. The greatest factor of 1375 is 1375.
3. What are the Factors of 1381?
Answer: Factors of 1381 are 1, 1381. There are 2 integers that are factors of 1381. The greatest factor of 1381 is 1381.
4. How to Find the GCF of 1375 and 1381?
Answer:
Greatest Common Factor of 1375 and 1381 = 1
Step 1: Find the prime factorization of 1375
1375 = 5 x 5 x 5 x 11
Step 2: Find the prime factorization of 1381
1381 = 1381
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 1375 and 1381 is 1