Greatest Common Factor of 4991 and 4995

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, 4995 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4991 and 4995 is 1.

GCF(4991,4995) = 1

GCF of 4991 and 4995

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

GCF of:
and

Greatest Common Factor of 4991 and 4995

GCF of 4991 and 4995 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 4995


3 4995
3 1665
3 555
5 185
37 37
1

Prime factors of 4995 are 3,5,37. Prime factorization of 4995 in exponential form is:

4995 = 33×51×371

∴ So by taking common prime factors GCF of 4991 and 4995 is 1

Greatest Common Factor of 4991 and 4995 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 4995

List of positive integer factors of 4995 that divides 4995 without a remainder.

1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995

Greatest Common Factor

We found the factors and prime factorization of 4991 and 4995. The biggest common factor number is the GCF number.
So the greatest common factor 4991 and 4995 is 1.

Also check out the Least Common Multiple of 4991 and 4995

Properties of GCF 4991 and 4995

(i) The GCF of 4991 and 4995 is associative

GCF of 4991 and 4995 = GCF of 4995 and 4991

Related Greatest Common Factor of 4991

Related Greatest Common Factor of 4995

Frequently Asked Questions on GCF of 4991 and 4995

1. What is the GCF of 4991 and 4995?

Answer: GCF of 4991 and 4995 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 4995?

Answer: Factors of 4995 are 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995. There are 16 integers that are factors of 4995. The greatest factor of 4995 is 4995.

4. How to Find the GCF of 4991 and 4995?

Answer:

Greatest Common Factor of 4991 and 4995 = 1

Step 1: Find the prime factorization of 4991

4991 = 7 x 23 x 31

Step 2: Find the prime factorization of 4995

4995 = 3 x 3 x 3 x 5 x 37

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 4995 is 1