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 5695, 5700 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5695 and 5700 is 5.
GCF(5695,5700) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5695
5 | 5695 |
17 | 1139 |
67 | 67 |
1 |
Prime factors of 5695 are 5,17,67. Prime factorization of 5695 in exponential form is:
5695 = 51×171×671
Prime Factorization of 5700
2 | 5700 |
2 | 2850 |
3 | 1425 |
5 | 475 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 5700 are 2,3,5,19. Prime factorization of 5700 in exponential form is:
5700 = 22×31×52×191
∴ So by taking common prime factors GCF of 5695 and 5700 is 5
Factors of 5695
List of positive integer factors of 5695 that divides 5695 without a remainder.
1,5,17,67,85,335,1139,5695
Factors of 5700
List of positive integer factors of 5700 that divides 5700 without a remainder.
1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700
Greatest Common Factor
We found the factors and prime factorization of 5695 and 5700. The biggest common factor number is the GCF number.
So the greatest common factor 5695 and 5700 is 5.
Also check out the Least Common Multiple of 5695 and 5700
(i) The GCF of 5695 and 5700 is associative
GCF of 5695 and 5700 = GCF of 5700 and 5695
1. What is the GCF of 5695 and 5700?
Answer: GCF of 5695 and 5700 is 5.
2. What are the Factors of 5695?
Answer: Factors of 5695 are 1, 5, 17, 67, 85, 335, 1139, 5695. There are 8 integers that are factors of 5695. The greatest factor of 5695 is 5695.
3. What are the Factors of 5700?
Answer: Factors of 5700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700. There are 36 integers that are factors of 5700. The greatest factor of 5700 is 5700.
4. How to Find the GCF of 5695 and 5700?
Answer:
Greatest Common Factor of 5695 and 5700 = 5
Step 1: Find the prime factorization of 5695
5695 = 5 x 17 x 67
Step 2: Find the prime factorization of 5700
5700 = 2 x 2 x 3 x 5 x 5 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 5695 and 5700 is 5