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 5701, 5709 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5701 and 5709 is 1.
GCF(5701,5709) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5701
5701 | 5701 |
1 |
Prime factors of 5701 are 5701. Prime factorization of 5701 in exponential form is:
5701 = 57011
Prime Factorization of 5709
3 | 5709 |
11 | 1903 |
173 | 173 |
1 |
Prime factors of 5709 are 3.Prime factorization of 5709 in exponential form is:
5709 = 31×111×1731
∴ So by taking common prime factors GCF of 5701 and 5709 is 1
Factors of 5701
List of positive integer factors of 5701 that divides 5701 without a remainder.
1,5701
Factors of 5709
List of positive integer factors of 5709 that divides 5709 without a remainder.
1,3,11,33,173,519,1903,5709
Greatest Common Factor
We found the factors and prime factorization of 5701 and 5709. The biggest common factor number is the GCF number.
So the greatest common factor 5701 and 5709 is 1.
Also check out the Least Common Multiple of 5701 and 5709
(i) The GCF of 5701 and 5709 is associative
GCF of 5701 and 5709 = GCF of 5709 and 5701
1. What is the GCF of 5701 and 5709?
Answer: GCF of 5701 and 5709 is 1.
2. What are the Factors of 5701?
Answer: Factors of 5701 are 1, 5701. There are 2 integers that are factors of 5701. The greatest factor of 5701 is 5701.
3. What are the Factors of 5709?
Answer: Factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709. There are 8 integers that are factors of 5709. The greatest factor of 5709 is 5709.
4. How to Find the GCF of 5701 and 5709?
Answer:
Greatest Common Factor of 5701 and 5709 = 1
Step 1: Find the prime factorization of 5701
5701 = 5701
Step 2: Find the prime factorization of 5709
5709 = 3 x 11 x 173
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 5701 and 5709 is 1