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 1386, 1390 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1386 and 1390 is 2.
GCF(1386,1390) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1386
2 | 1386 |
3 | 693 |
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 1386 are 2,3,7,11. Prime factorization of 1386 in exponential form is:
1386 = 21×32×71×111
Prime Factorization of 1390
2 | 1390 |
5 | 695 |
139 | 139 |
1 |
Prime factors of 1390 are 2,5,139. Prime factorization of 1390 in exponential form is:
1390 = 21×51×1391
∴ So by taking common prime factors GCF of 1386 and 1390 is 2
Factors of 1386
List of positive integer factors of 1386 that divides 1386 without a remainder.
1,2,3,6,7,9,11,14,18,21,22,33,42,63,66,77,99,126,154,198,231,462,693,1386
Factors of 1390
List of positive integer factors of 1390 that divides 1390 without a remainder.
1,2,5,10,139,278,695,1390
Greatest Common Factor
We found the factors and prime factorization of 1386 and 1390. The biggest common factor number is the GCF number.
So the greatest common factor 1386 and 1390 is 2.
Also check out the Least Common Multiple of 1386 and 1390
(i) The GCF of 1386 and 1390 is associative
GCF of 1386 and 1390 = GCF of 1390 and 1386
1. What is the GCF of 1386 and 1390?
Answer: GCF of 1386 and 1390 is 2.
2. What are the Factors of 1386?
Answer: Factors of 1386 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386. There are 24 integers that are factors of 1386. The greatest factor of 1386 is 1386.
3. What are the Factors of 1390?
Answer: Factors of 1390 are 1, 2, 5, 10, 139, 278, 695, 1390. There are 8 integers that are factors of 1390. The greatest factor of 1390 is 1390.
4. How to Find the GCF of 1386 and 1390?
Answer:
Greatest Common Factor of 1386 and 1390 = 2
Step 1: Find the prime factorization of 1386
1386 = 2 x 3 x 3 x 7 x 11
Step 2: Find the prime factorization of 1390
1390 = 2 x 5 x 139
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 1386 and 1390 is 2