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 4689, 4691 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4689 and 4691 is 1.
GCF(4689,4691) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4689
3 | 4689 |
3 | 1563 |
521 | 521 |
1 |
Prime factors of 4689 are 3,521. Prime factorization of 4689 in exponential form is:
4689 = 32×5211
Prime Factorization of 4691
4691 | 4691 |
1 |
Prime factors of 4691 are 4691. Prime factorization of 4691 in exponential form is:
4691 = 46911
∴ So by taking common prime factors GCF of 4689 and 4691 is 1
Factors of 4689
List of positive integer factors of 4689 that divides 4689 without a remainder.
1,3,9,521,1563,4689
Factors of 4691
List of positive integer factors of 4691 that divides 4691 without a remainder.
1,4691
Greatest Common Factor
We found the factors and prime factorization of 4689 and 4691. The biggest common factor number is the GCF number.
So the greatest common factor 4689 and 4691 is 1.
Also check out the Least Common Multiple of 4689 and 4691
(i) The GCF of 4689 and 4691 is associative
GCF of 4689 and 4691 = GCF of 4691 and 4689
1. What is the GCF of 4689 and 4691?
Answer: GCF of 4689 and 4691 is 1.
2. What are the Factors of 4689?
Answer: Factors of 4689 are 1, 3, 9, 521, 1563, 4689. There are 6 integers that are factors of 4689. The greatest factor of 4689 is 4689.
3. What are the Factors of 4691?
Answer: Factors of 4691 are 1, 4691. There are 2 integers that are factors of 4691. The greatest factor of 4691 is 4691.
4. How to Find the GCF of 4689 and 4691?
Answer:
Greatest Common Factor of 4689 and 4691 = 1
Step 1: Find the prime factorization of 4689
4689 = 3 x 3 x 521
Step 2: Find the prime factorization of 4691
4691 = 4691
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 4689 and 4691 is 1