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 595, 596 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 595 and 596 is 1.
GCF(595,596) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 595
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 595 are 5,7,17. Prime factorization of 595 in exponential form is:
595 = 51×71×171
Prime Factorization of 596
2 | 596 |
2 | 298 |
149 | 149 |
1 |
Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:
596 = 22×1491
∴ So by taking common prime factors GCF of 595 and 596 is 1
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Greatest Common Factor
We found the factors and prime factorization of 595 and 596. The biggest common factor number is the GCF number.
So the greatest common factor 595 and 596 is 1.
Also check out the Least Common Multiple of 595 and 596
(i) The GCF of 595 and 596 is associative
GCF of 595 and 596 = GCF of 596 and 595
1. What is the GCF of 595 and 596?
Answer: GCF of 595 and 596 is 1.
2. What are the Factors of 595?
Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.
3. What are the Factors of 596?
Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.
4. How to Find the GCF of 595 and 596?
Answer:
Greatest Common Factor of 595 and 596 = 1
Step 1: Find the prime factorization of 595
595 = 5 x 7 x 17
Step 2: Find the prime factorization of 596
596 = 2 x 2 x 149
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 595 and 596 is 1