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 5388, 5390 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5388 and 5390 is 2.
GCF(5388,5390) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5388
2 | 5388 |
2 | 2694 |
3 | 1347 |
449 | 449 |
1 |
Prime factors of 5388 are 2,3,449. Prime factorization of 5388 in exponential form is:
5388 = 22×31×4491
Prime Factorization of 5390
2 | 5390 |
5 | 2695 |
7 | 539 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 5390 are 2,5,7,11. Prime factorization of 5390 in exponential form is:
5390 = 21×51×72×111
∴ So by taking common prime factors GCF of 5388 and 5390 is 2
Factors of 5388
List of positive integer factors of 5388 that divides 5388 without a remainder.
1,2,3,4,6,12,449,898,1347,1796,2694,5388
Factors of 5390
List of positive integer factors of 5390 that divides 5390 without a remainder.
1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Greatest Common Factor
We found the factors and prime factorization of 5388 and 5390. The biggest common factor number is the GCF number.
So the greatest common factor 5388 and 5390 is 2.
Also check out the Least Common Multiple of 5388 and 5390
(i) The GCF of 5388 and 5390 is associative
GCF of 5388 and 5390 = GCF of 5390 and 5388
1. What is the GCF of 5388 and 5390?
Answer: GCF of 5388 and 5390 is 2.
2. What are the Factors of 5388?
Answer: Factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388. There are 12 integers that are factors of 5388. The greatest factor of 5388 is 5388.
3. What are the Factors of 5390?
Answer: Factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390. There are 24 integers that are factors of 5390. The greatest factor of 5390 is 5390.
4. How to Find the GCF of 5388 and 5390?
Answer:
Greatest Common Factor of 5388 and 5390 = 2
Step 1: Find the prime factorization of 5388
5388 = 2 x 2 x 3 x 449
Step 2: Find the prime factorization of 5390
5390 = 2 x 5 x 7 x 7 x 11
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 5388 and 5390 is 2