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 4991, 4993 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4991 and 4993 is 1.
GCF(4991,4993) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4991
7 | 4991 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 4991 are 7,23,31. Prime factorization of 4991 in exponential form is:
4991 = 71×231×311
Prime Factorization of 4993
4993 | 4993 |
1 |
Prime factors of 4993 are 4993. Prime factorization of 4993 in exponential form is:
4993 = 49931
∴ So by taking common prime factors GCF of 4991 and 4993 is 1
Factors of 4991
List of positive integer factors of 4991 that divides 4991 without a remainder.
1,7,23,31,161,217,713,4991
Factors of 4993
List of positive integer factors of 4993 that divides 4993 without a remainder.
1,4993
Greatest Common Factor
We found the factors and prime factorization of 4991 and 4993. The biggest common factor number is the GCF number.
So the greatest common factor 4991 and 4993 is 1.
Also check out the Least Common Multiple of 4991 and 4993
(i) The GCF of 4991 and 4993 is associative
GCF of 4991 and 4993 = GCF of 4993 and 4991
1. What is the GCF of 4991 and 4993?
Answer: GCF of 4991 and 4993 is 1.
2. What are the Factors of 4991?
Answer: Factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991. There are 8 integers that are factors of 4991. The greatest factor of 4991 is 4991.
3. What are the Factors of 4993?
Answer: Factors of 4993 are 1, 4993. There are 2 integers that are factors of 4993. The greatest factor of 4993 is 4993.
4. How to Find the GCF of 4991 and 4993?
Answer:
Greatest Common Factor of 4991 and 4993 = 1
Step 1: Find the prime factorization of 4991
4991 = 7 x 23 x 31
Step 2: Find the prime factorization of 4993
4993 = 4993
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 4991 and 4993 is 1