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 1387, 1391 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1387 and 1391 is 1.
GCF(1387,1391) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1387
19 | 1387 |
73 | 73 |
1 |
Prime factors of 1387 are 19,73. Prime factorization of 1387 in exponential form is:
1387 = 191×731
Prime Factorization of 1391
13 | 1391 |
107 | 107 |
1 |
Prime factors of 1391 are 13,107. Prime factorization of 1391 in exponential form is:
1391 = 131×1071
∴ So by taking common prime factors GCF of 1387 and 1391 is 1
Factors of 1387
List of positive integer factors of 1387 that divides 1387 without a remainder.
1,19,73,1387
Factors of 1391
List of positive integer factors of 1391 that divides 1391 without a remainder.
1,13,107,1391
Greatest Common Factor
We found the factors and prime factorization of 1387 and 1391. The biggest common factor number is the GCF number.
So the greatest common factor 1387 and 1391 is 1.
Also check out the Least Common Multiple of 1387 and 1391
(i) The GCF of 1387 and 1391 is associative
GCF of 1387 and 1391 = GCF of 1391 and 1387
1. What is the GCF of 1387 and 1391?
Answer: GCF of 1387 and 1391 is 1.
2. What are the Factors of 1387?
Answer: Factors of 1387 are 1, 19, 73, 1387. There are 4 integers that are factors of 1387. The greatest factor of 1387 is 1387.
3. What are the Factors of 1391?
Answer: Factors of 1391 are 1, 13, 107, 1391. There are 4 integers that are factors of 1391. The greatest factor of 1391 is 1391.
4. How to Find the GCF of 1387 and 1391?
Answer:
Greatest Common Factor of 1387 and 1391 = 1
Step 1: Find the prime factorization of 1387
1387 = 19 x 73
Step 2: Find the prime factorization of 1391
1391 = 13 x 107
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 1387 and 1391 is 1