Greatest Common Factor of 4982 and 4990

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 4982, 4990 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4982 and 4990 is 2.

GCF(4982,4990) = 2

GCF of 4982 and 4990

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

GCF of:
and

Greatest Common Factor of 4982 and 4990

GCF of 4982 and 4990 is 2

Prime Factorization of 4982


2 4982
47 2491
53 53
1

Prime factors of 4982 are 2,47,53. Prime factorization of 4982 in exponential form is:

4982 = 21×471×531

Prime Factorization of 4990


2 4990
5 2495
499 499
1

Prime factors of 4990 are 2,5,499. Prime factorization of 4990 in exponential form is:

4990 = 21×51×4991

∴ So by taking common prime factors GCF of 4982 and 4990 is 2

Greatest Common Factor of 4982 and 4990 by matching factors method

Factors of 4982

List of positive integer factors of 4982 that divides 4982 without a remainder.

1,2,47,53,94,106,2491,4982

Factors of 4990

List of positive integer factors of 4990 that divides 4990 without a remainder.

1,2,5,10,499,998,2495,4990

Greatest Common Factor

We found the factors and prime factorization of 4982 and 4990. The biggest common factor number is the GCF number.
So the greatest common factor 4982 and 4990 is 2.

Also check out the Least Common Multiple of 4982 and 4990

Properties of GCF 4982 and 4990

(i) The GCF of 4982 and 4990 is associative

GCF of 4982 and 4990 = GCF of 4990 and 4982

Related Greatest Common Factor of 4982

Related Greatest Common Factor of 4990

Frequently Asked Questions on GCF of 4982 and 4990

1. What is the GCF of 4982 and 4990?

Answer: GCF of 4982 and 4990 is 2.

2. What are the Factors of 4982?

Answer: Factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982. There are 8 integers that are factors of 4982. The greatest factor of 4982 is 4982.

3. What are the Factors of 4990?

Answer: Factors of 4990 are 1, 2, 5, 10, 499, 998, 2495, 4990. There are 8 integers that are factors of 4990. The greatest factor of 4990 is 4990.

4. How to Find the GCF of 4982 and 4990?

Answer:

Greatest Common Factor of 4982 and 4990 = 2

Step 1: Find the prime factorization of 4982

4982 = 2 x 47 x 53

Step 2: Find the prime factorization of 4990

4990 = 2 x 5 x 499

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4982 and 4990 is 2