Greatest Common Factor of 4991 and 4993

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

GCF of 4991 and 4993

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4991 and 4993

GCF of 4991 and 4993 is 1

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

Greatest Common Factor of 4991 and 4993 by matching factors method

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

Properties of GCF 4991 and 4993

(i) The GCF of 4991 and 4993 is associative

GCF of 4991 and 4993 = GCF of 4993 and 4991

Frequently Asked Questions on GCF of 4991 and 4993

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