Greatest Common Factor of 4978 and 4982

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 4978, 4982 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4978 and 4982 is 2.

GCF(4978,4982) = 2

GCF of 4978 and 4982

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

GCF of:
and

Greatest Common Factor of 4978 and 4982

GCF of 4978 and 4982 is 2

Prime Factorization of 4978


2 4978
19 2489
131 131
1

Prime factors of 4978 are 2,19,131. Prime factorization of 4978 in exponential form is:

4978 = 21×191×1311

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

∴ So by taking common prime factors GCF of 4978 and 4982 is 2

Greatest Common Factor of 4978 and 4982 by matching factors method

Factors of 4978

List of positive integer factors of 4978 that divides 4978 without a remainder.

1,2,19,38,131,262,2489,4978

Factors of 4982

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

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

Greatest Common Factor

We found the factors and prime factorization of 4978 and 4982. The biggest common factor number is the GCF number.
So the greatest common factor 4978 and 4982 is 2.

Also check out the Least Common Multiple of 4978 and 4982

Properties of GCF 4978 and 4982

(i) The GCF of 4978 and 4982 is associative

GCF of 4978 and 4982 = GCF of 4982 and 4978

Related Greatest Common Factor of 4978

Related Greatest Common Factor of 4982

Frequently Asked Questions on GCF of 4978 and 4982

1. What is the GCF of 4978 and 4982?

Answer: GCF of 4978 and 4982 is 2.

2. What are the Factors of 4978?

Answer: Factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978. There are 8 integers that are factors of 4978. The greatest factor of 4978 is 4978.

3. 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.

4. How to Find the GCF of 4978 and 4982?

Answer:

Greatest Common Factor of 4978 and 4982 = 2

Step 1: Find the prime factorization of 4978

4978 = 2 x 19 x 131

Step 2: Find the prime factorization of 4982

4982 = 2 x 47 x 53

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 4978 and 4982 is 2