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 1390, 1396 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1390 and 1396 is 2.
GCF(1390,1396) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1396
2 | 1396 |
2 | 698 |
349 | 349 |
1 |
Prime factors of 1396 are 2,349. Prime factorization of 1396 in exponential form is:
1396 = 22×3491
∴ So by taking common prime factors GCF of 1390 and 1396 is 2
Factors of 1390
List of positive integer factors of 1390 that divides 1390 without a remainder.
1,2,5,10,139,278,695,1390
Factors of 1396
List of positive integer factors of 1396 that divides 1396 without a remainder.
1,2,4,349,698,1396
Greatest Common Factor
We found the factors and prime factorization of 1390 and 1396. The biggest common factor number is the GCF number.
So the greatest common factor 1390 and 1396 is 2.
Also check out the Least Common Multiple of 1390 and 1396
(i) The GCF of 1390 and 1396 is associative
GCF of 1390 and 1396 = GCF of 1396 and 1390
1. What is the GCF of 1390 and 1396?
Answer: GCF of 1390 and 1396 is 2.
2. 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.
3. What are the Factors of 1396?
Answer: Factors of 1396 are 1, 2, 4, 349, 698, 1396. There are 6 integers that are factors of 1396. The greatest factor of 1396 is 1396.
4. How to Find the GCF of 1390 and 1396?
Answer:
Greatest Common Factor of 1390 and 1396 = 2
Step 1: Find the prime factorization of 1390
1390 = 2 x 5 x 139
Step 2: Find the prime factorization of 1396
1396 = 2 x 2 x 349
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 1390 and 1396 is 2