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 2759, 2765 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2759 and 2765 is 1.
GCF(2759,2765) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2759
31 | 2759 |
89 | 89 |
1 |
Prime factors of 2759 are 31,89. Prime factorization of 2759 in exponential form is:
2759 = 311×891
Prime Factorization of 2765
5 | 2765 |
7 | 553 |
79 | 79 |
1 |
Prime factors of 2765 are 5,7,79. Prime factorization of 2765 in exponential form is:
2765 = 51×71×791
∴ So by taking common prime factors GCF of 2759 and 2765 is 1
Factors of 2759
List of positive integer factors of 2759 that divides 2759 without a remainder.
1,31,89,2759
Factors of 2765
List of positive integer factors of 2765 that divides 2765 without a remainder.
1,5,7,35,79,395,553,2765
Greatest Common Factor
We found the factors and prime factorization of 2759 and 2765. The biggest common factor number is the GCF number.
So the greatest common factor 2759 and 2765 is 1.
Also check out the Least Common Multiple of 2759 and 2765
(i) The GCF of 2759 and 2765 is associative
GCF of 2759 and 2765 = GCF of 2765 and 2759
1. What is the GCF of 2759 and 2765?
Answer: GCF of 2759 and 2765 is 1.
2. What are the Factors of 2759?
Answer: Factors of 2759 are 1, 31, 89, 2759. There are 4 integers that are factors of 2759. The greatest factor of 2759 is 2759.
3. What are the Factors of 2765?
Answer: Factors of 2765 are 1, 5, 7, 35, 79, 395, 553, 2765. There are 8 integers that are factors of 2765. The greatest factor of 2765 is 2765.
4. How to Find the GCF of 2759 and 2765?
Answer:
Greatest Common Factor of 2759 and 2765 = 1
Step 1: Find the prime factorization of 2759
2759 = 31 x 89
Step 2: Find the prime factorization of 2765
2765 = 5 x 7 x 79
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 2759 and 2765 is 1