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, 5707 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5701 and 5707 is 1.
GCF(5701,5707) = 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 5707
13 | 5707 |
439 | 439 |
1 |
Prime factors of 5707 are 13.Prime factorization of 5707 in exponential form is:
5707 = 131×4391
∴ So by taking common prime factors GCF of 5701 and 5707 is 1
Factors of 5701
List of positive integer factors of 5701 that divides 5701 without a remainder.
1,5701
Factors of 5707
List of positive integer factors of 5707 that divides 5707 without a remainder.
1,13,439,5707
Greatest Common Factor
We found the factors and prime factorization of 5701 and 5707. The biggest common factor number is the GCF number.
So the greatest common factor 5701 and 5707 is 1.
Also check out the Least Common Multiple of 5701 and 5707
(i) The GCF of 5701 and 5707 is associative
GCF of 5701 and 5707 = GCF of 5707 and 5701
1. What is the GCF of 5701 and 5707?
Answer: GCF of 5701 and 5707 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 5707?
Answer: Factors of 5707 are 1, 13, 439, 5707. There are 4 integers that are factors of 5707. The greatest factor of 5707 is 5707.
4. How to Find the GCF of 5701 and 5707?
Answer:
Greatest Common Factor of 5701 and 5707 = 1
Step 1: Find the prime factorization of 5701
5701 = 5701
Step 2: Find the prime factorization of 5707
5707 = 13 x 439
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 5707 is 1