Greatest Common Factor of 4982 and 4988

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, 4988 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4982 and 4988 is 2.

GCF(4982,4988) = 2

GCF of 4982 and 4988

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

GCF of:
and

Greatest Common Factor of 4982 and 4988

GCF of 4982 and 4988 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 4988


2 4988
2 2494
29 1247
43 43
1

Prime factors of 4988 are 2,29,43. Prime factorization of 4988 in exponential form is:

4988 = 22×291×431

∴ So by taking common prime factors GCF of 4982 and 4988 is 2

Greatest Common Factor of 4982 and 4988 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 4988

List of positive integer factors of 4988 that divides 4988 without a remainder.

1,2,4,29,43,58,86,116,172,1247,2494,4988

Greatest Common Factor

We found the factors and prime factorization of 4982 and 4988. The biggest common factor number is the GCF number.
So the greatest common factor 4982 and 4988 is 2.

Also check out the Least Common Multiple of 4982 and 4988

Properties of GCF 4982 and 4988

(i) The GCF of 4982 and 4988 is associative

GCF of 4982 and 4988 = GCF of 4988 and 4982

Related Greatest Common Factor of 4982

Related Greatest Common Factor of 4988

Frequently Asked Questions on GCF of 4982 and 4988

1. What is the GCF of 4982 and 4988?

Answer: GCF of 4982 and 4988 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 4988?

Answer: Factors of 4988 are 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988. There are 12 integers that are factors of 4988. The greatest factor of 4988 is 4988.

4. How to Find the GCF of 4982 and 4988?

Answer:

Greatest Common Factor of 4982 and 4988 = 2

Step 1: Find the prime factorization of 4982

4982 = 2 x 47 x 53

Step 2: Find the prime factorization of 4988

4988 = 2 x 2 x 29 x 43

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 4988 is 2