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 5918, 5920 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5918 and 5920 is 2.
GCF(5918,5920) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5918
2 | 5918 |
11 | 2959 |
269 | 269 |
1 |
Prime factors of 5918 are 2,11,269. Prime factorization of 5918 in exponential form is:
5918 = 21×111×2691
Prime Factorization of 5920
2 | 5920 |
2 | 2960 |
2 | 1480 |
2 | 740 |
2 | 370 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 5920 are 2,5,37. Prime factorization of 5920 in exponential form is:
5920 = 25×51×371
∴ So by taking common prime factors GCF of 5918 and 5920 is 2
Factors of 5918
List of positive integer factors of 5918 that divides 5918 without a remainder.
1,2,11,22,269,538,2959,5918
Factors of 5920
List of positive integer factors of 5920 that divides 5920 without a remainder.
1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920
Greatest Common Factor
We found the factors and prime factorization of 5918 and 5920. The biggest common factor number is the GCF number.
So the greatest common factor 5918 and 5920 is 2.
Also check out the Least Common Multiple of 5918 and 5920
(i) The GCF of 5918 and 5920 is associative
GCF of 5918 and 5920 = GCF of 5920 and 5918
1. What is the GCF of 5918 and 5920?
Answer: GCF of 5918 and 5920 is 2.
2. What are the Factors of 5918?
Answer: Factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918. There are 8 integers that are factors of 5918. The greatest factor of 5918 is 5918.
3. What are the Factors of 5920?
Answer: Factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920. There are 24 integers that are factors of 5920. The greatest factor of 5920 is 5920.
4. How to Find the GCF of 5918 and 5920?
Answer:
Greatest Common Factor of 5918 and 5920 = 2
Step 1: Find the prime factorization of 5918
5918 = 2 x 11 x 269
Step 2: Find the prime factorization of 5920
5920 = 2 x 2 x 2 x 2 x 2 x 5 x 37
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 5918 and 5920 is 2