Greatest Common Factor of 4991 and 4994

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, 4994 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4991 and 4994 is 1.

GCF(4991,4994) = 1

GCF of 4991 and 4994

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

GCF of:
and

Greatest Common Factor of 4991 and 4994

GCF of 4991 and 4994 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 4994


2 4994
11 2497
227 227
1

Prime factors of 4994 are 2,11,227. Prime factorization of 4994 in exponential form is:

4994 = 21×111×2271

∴ So by taking common prime factors GCF of 4991 and 4994 is 1

Greatest Common Factor of 4991 and 4994 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 4994

List of positive integer factors of 4994 that divides 4994 without a remainder.

1,2,11,22,227,454,2497,4994

Greatest Common Factor

We found the factors and prime factorization of 4991 and 4994. The biggest common factor number is the GCF number.
So the greatest common factor 4991 and 4994 is 1.

Also check out the Least Common Multiple of 4991 and 4994

Properties of GCF 4991 and 4994

(i) The GCF of 4991 and 4994 is associative

GCF of 4991 and 4994 = GCF of 4994 and 4991

Related Greatest Common Factor of 4991

Related Greatest Common Factor of 4994

Frequently Asked Questions on GCF of 4991 and 4994

1. What is the GCF of 4991 and 4994?

Answer: GCF of 4991 and 4994 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 4994?

Answer: Factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994. There are 8 integers that are factors of 4994. The greatest factor of 4994 is 4994.

4. How to Find the GCF of 4991 and 4994?

Answer:

Greatest Common Factor of 4991 and 4994 = 1

Step 1: Find the prime factorization of 4991

4991 = 7 x 23 x 31

Step 2: Find the prime factorization of 4994

4994 = 2 x 11 x 227

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 4994 is 1