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 5920, 5926 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5920 and 5926 is 2.
GCF(5920,5926) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5926
2 | 5926 |
2963 | 2963 |
1 |
Prime factors of 5926 are 2,2963. Prime factorization of 5926 in exponential form is:
5926 = 21×29631
∴ So by taking common prime factors GCF of 5920 and 5926 is 2
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
Factors of 5926
List of positive integer factors of 5926 that divides 5926 without a remainder.
1,2,2963,5926
Greatest Common Factor
We found the factors and prime factorization of 5920 and 5926. The biggest common factor number is the GCF number.
So the greatest common factor 5920 and 5926 is 2.
Also check out the Least Common Multiple of 5920 and 5926
(i) The GCF of 5920 and 5926 is associative
GCF of 5920 and 5926 = GCF of 5926 and 5920
1. What is the GCF of 5920 and 5926?
Answer: GCF of 5920 and 5926 is 2.
2. 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.
3. What are the Factors of 5926?
Answer: Factors of 5926 are 1, 2, 2963, 5926. There are 4 integers that are factors of 5926. The greatest factor of 5926 is 5926.
4. How to Find the GCF of 5920 and 5926?
Answer:
Greatest Common Factor of 5920 and 5926 = 2
Step 1: Find the prime factorization of 5920
5920 = 2 x 2 x 2 x 2 x 2 x 5 x 37
Step 2: Find the prime factorization of 5926
5926 = 2 x 2963
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 5920 and 5926 is 2