Greatest Common Factor of 4977 and 4983

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 4977, 4983 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4977 and 4983 is 3.

GCF(4977,4983) = 3

GCF of 4977 and 4983

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

GCF of:
and

Greatest Common Factor of 4977 and 4983

GCF of 4977 and 4983 is 3

Prime Factorization of 4977


3 4977
3 1659
7 553
79 79
1

Prime factors of 4977 are 3,7,79. Prime factorization of 4977 in exponential form is:

4977 = 32×71×791

Prime Factorization of 4983


3 4983
11 1661
151 151
1

Prime factors of 4983 are 3,11,151. Prime factorization of 4983 in exponential form is:

4983 = 31×111×1511

∴ So by taking common prime factors GCF of 4977 and 4983 is 3

Greatest Common Factor of 4977 and 4983 by matching factors method

Factors of 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1,3,7,9,21,63,79,237,553,711,1659,4977

Factors of 4983

List of positive integer factors of 4983 that divides 4983 without a remainder.

1,3,11,33,151,453,1661,4983

Greatest Common Factor

We found the factors and prime factorization of 4977 and 4983. The biggest common factor number is the GCF number.
So the greatest common factor 4977 and 4983 is 3.

Also check out the Least Common Multiple of 4977 and 4983

Properties of GCF 4977 and 4983

(i) The GCF of 4977 and 4983 is associative

GCF of 4977 and 4983 = GCF of 4983 and 4977

Related Greatest Common Factor of 4977

Related Greatest Common Factor of 4983

Frequently Asked Questions on GCF of 4977 and 4983

1. What is the GCF of 4977 and 4983?

Answer: GCF of 4977 and 4983 is 3.

2. What are the Factors of 4977?

Answer: Factors of 4977 are 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977. There are 12 integers that are factors of 4977. The greatest factor of 4977 is 4977.

3. What are the Factors of 4983?

Answer: Factors of 4983 are 1, 3, 11, 33, 151, 453, 1661, 4983. There are 8 integers that are factors of 4983. The greatest factor of 4983 is 4983.

4. How to Find the GCF of 4977 and 4983?

Answer:

Greatest Common Factor of 4977 and 4983 = 3

Step 1: Find the prime factorization of 4977

4977 = 3 x 3 x 7 x 79

Step 2: Find the prime factorization of 4983

4983 = 3 x 11 x 151

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4977 and 4983 is 3