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 2725, 2733 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2725 and 2733 is 1.
GCF(2725,2733) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2725
5 | 2725 |
5 | 545 |
109 | 109 |
1 |
Prime factors of 2725 are 5,109. Prime factorization of 2725 in exponential form is:
2725 = 52×1091
Prime Factorization of 2733
3 | 2733 |
911 | 911 |
1 |
Prime factors of 2733 are 3,911. Prime factorization of 2733 in exponential form is:
2733 = 31×9111
∴ So by taking common prime factors GCF of 2725 and 2733 is 1
Factors of 2725
List of positive integer factors of 2725 that divides 2725 without a remainder.
1,5,25,109,545,2725
Factors of 2733
List of positive integer factors of 2733 that divides 2733 without a remainder.
1,3,911,2733
Greatest Common Factor
We found the factors and prime factorization of 2725 and 2733. The biggest common factor number is the GCF number.
So the greatest common factor 2725 and 2733 is 1.
Also check out the Least Common Multiple of 2725 and 2733
(i) The GCF of 2725 and 2733 is associative
GCF of 2725 and 2733 = GCF of 2733 and 2725
1. What is the GCF of 2725 and 2733?
Answer: GCF of 2725 and 2733 is 1.
2. What are the Factors of 2725?
Answer: Factors of 2725 are 1, 5, 25, 109, 545, 2725. There are 6 integers that are factors of 2725. The greatest factor of 2725 is 2725.
3. What are the Factors of 2733?
Answer: Factors of 2733 are 1, 3, 911, 2733. There are 4 integers that are factors of 2733. The greatest factor of 2733 is 2733.
4. How to Find the GCF of 2725 and 2733?
Answer:
Greatest Common Factor of 2725 and 2733 = 1
Step 1: Find the prime factorization of 2725
2725 = 5 x 5 x 109
Step 2: Find the prime factorization of 2733
2733 = 3 x 911
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 2725 and 2733 is 1