Greatest Common Factor of 4944 and 4947

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 4944, 4947 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4944 and 4947 is 3.

GCF(4944,4947) = 3

GCF of 4944 and 4947

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

GCF of:
and

Greatest Common Factor of 4944 and 4947

GCF of 4944 and 4947 is 3

Prime Factorization of 4944


2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 4944 are 2,3,103. Prime factorization of 4944 in exponential form is:

4944 = 24×31×1031

Prime Factorization of 4947


3 4947
17 1649
97 97
1

Prime factors of 4947 are 3,17,97. Prime factorization of 4947 in exponential form is:

4947 = 31×171×971

∴ So by taking common prime factors GCF of 4944 and 4947 is 3

Greatest Common Factor of 4944 and 4947 by matching factors method

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944

Factors of 4947

List of positive integer factors of 4947 that divides 4947 without a remainder.

1,3,17,51,97,291,1649,4947

Greatest Common Factor

We found the factors and prime factorization of 4944 and 4947. The biggest common factor number is the GCF number.
So the greatest common factor 4944 and 4947 is 3.

Also check out the Least Common Multiple of 4944 and 4947

Properties of GCF 4944 and 4947

(i) The GCF of 4944 and 4947 is associative

GCF of 4944 and 4947 = GCF of 4947 and 4944

Related Greatest Common Factor of 4944

Related Greatest Common Factor of 4947

Frequently Asked Questions on GCF of 4944 and 4947

1. What is the GCF of 4944 and 4947?

Answer: GCF of 4944 and 4947 is 3.

2. What are the Factors of 4944?

Answer: Factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944. There are 20 integers that are factors of 4944. The greatest factor of 4944 is 4944.

3. What are the Factors of 4947?

Answer: Factors of 4947 are 1, 3, 17, 51, 97, 291, 1649, 4947. There are 8 integers that are factors of 4947. The greatest factor of 4947 is 4947.

4. How to Find the GCF of 4944 and 4947?

Answer:

Greatest Common Factor of 4944 and 4947 = 3

Step 1: Find the prime factorization of 4944

4944 = 2 x 2 x 2 x 2 x 3 x 103

Step 2: Find the prime factorization of 4947

4947 = 3 x 17 x 97

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 4944 and 4947 is 3