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 7597, 7600 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7597 and 7600 is 1.
GCF(7597,7600) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7597
71 | 7597 |
107 | 107 |
1 |
Prime factors of 7597 are 71,107. Prime factorization of 7597 in exponential form is:
7597 = 711×1071
Prime Factorization of 7600
2 | 7600 |
2 | 3800 |
2 | 1900 |
2 | 950 |
5 | 475 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 7600 are 2,5,19. Prime factorization of 7600 in exponential form is:
7600 = 24×52×191
∴ So by taking common prime factors GCF of 7597 and 7600 is 1
Factors of 7597
List of positive integer factors of 7597 that divides 7597 without a remainder.
1,71,107,7597
Factors of 7600
List of positive integer factors of 7600 that divides 7600 without a remainder.
1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600
Greatest Common Factor
We found the factors and prime factorization of 7597 and 7600. The biggest common factor number is the GCF number.
So the greatest common factor 7597 and 7600 is 1.
Also check out the Least Common Multiple of 7597 and 7600
(i) The GCF of 7597 and 7600 is associative
GCF of 7597 and 7600 = GCF of 7600 and 7597
1. What is the GCF of 7597 and 7600?
Answer: GCF of 7597 and 7600 is 1.
2. What are the Factors of 7597?
Answer: Factors of 7597 are 1, 71, 107, 7597. There are 4 integers that are factors of 7597. The greatest factor of 7597 is 7597.
3. What are the Factors of 7600?
Answer: Factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600. There are 30 integers that are factors of 7600. The greatest factor of 7600 is 7600.
4. How to Find the GCF of 7597 and 7600?
Answer:
Greatest Common Factor of 7597 and 7600 = 1
Step 1: Find the prime factorization of 7597
7597 = 71 x 107
Step 2: Find the prime factorization of 7600
7600 = 2 x 2 x 2 x 2 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 = = 1
Step 4: Therefore, the greatest common factor of 7597 and 7600 is 1