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 7725, 7729 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7725 and 7729 is 1.
GCF(7725,7729) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7725
3 | 7725 |
5 | 2575 |
5 | 515 |
103 | 103 |
1 |
Prime factors of 7725 are 3,5,103. Prime factorization of 7725 in exponential form is:
7725 = 31×52×1031
Prime Factorization of 7729
59 | 7729 |
131 | 131 |
1 |
Prime factors of 7729 are 59,131. Prime factorization of 7729 in exponential form is:
7729 = 591×1311
∴ So by taking common prime factors GCF of 7725 and 7729 is 1
Factors of 7725
List of positive integer factors of 7725 that divides 7725 without a remainder.
1,3,5,15,25,75,103,309,515,1545,2575,7725
Factors of 7729
List of positive integer factors of 7729 that divides 7729 without a remainder.
1,59,131,7729
Greatest Common Factor
We found the factors and prime factorization of 7725 and 7729. The biggest common factor number is the GCF number.
So the greatest common factor 7725 and 7729 is 1.
Also check out the Least Common Multiple of 7725 and 7729
(i) The GCF of 7725 and 7729 is associative
GCF of 7725 and 7729 = GCF of 7729 and 7725
1. What is the GCF of 7725 and 7729?
Answer: GCF of 7725 and 7729 is 1.
2. What are the Factors of 7725?
Answer: Factors of 7725 are 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725. There are 12 integers that are factors of 7725. The greatest factor of 7725 is 7725.
3. What are the Factors of 7729?
Answer: Factors of 7729 are 1, 59, 131, 7729. There are 4 integers that are factors of 7729. The greatest factor of 7729 is 7729.
4. How to Find the GCF of 7725 and 7729?
Answer:
Greatest Common Factor of 7725 and 7729 = 1
Step 1: Find the prime factorization of 7725
7725 = 3 x 5 x 5 x 103
Step 2: Find the prime factorization of 7729
7729 = 59 x 131
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 7725 and 7729 is 1