Greatest Common Factor of 4947 and 4953

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 4947, 4953 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4947 and 4953 is 3.

GCF(4947,4953) = 3

GCF of 4947 and 4953

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

GCF of:
and

Greatest Common Factor of 4947 and 4953

GCF of 4947 and 4953 is 3

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

Prime Factorization of 4953


3 4953
13 1651
127 127
1

Prime factors of 4953 are 3,13,127. Prime factorization of 4953 in exponential form is:

4953 = 31×131×1271

∴ So by taking common prime factors GCF of 4947 and 4953 is 3

Greatest Common Factor of 4947 and 4953 by matching factors method

Factors of 4947

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

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

Factors of 4953

List of positive integer factors of 4953 that divides 4953 without a remainder.

1,3,13,39,127,381,1651,4953

Greatest Common Factor

We found the factors and prime factorization of 4947 and 4953. The biggest common factor number is the GCF number.
So the greatest common factor 4947 and 4953 is 3.

Also check out the Least Common Multiple of 4947 and 4953

Properties of GCF 4947 and 4953

(i) The GCF of 4947 and 4953 is associative

GCF of 4947 and 4953 = GCF of 4953 and 4947

Related Greatest Common Factor of 4947

Related Greatest Common Factor of 4953

Frequently Asked Questions on GCF of 4947 and 4953

1. What is the GCF of 4947 and 4953?

Answer: GCF of 4947 and 4953 is 3.

2. 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.

3. What are the Factors of 4953?

Answer: Factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953. There are 8 integers that are factors of 4953. The greatest factor of 4953 is 4953.

4. How to Find the GCF of 4947 and 4953?

Answer:

Greatest Common Factor of 4947 and 4953 = 3

Step 1: Find the prime factorization of 4947

4947 = 3 x 17 x 97

Step 2: Find the prime factorization of 4953

4953 = 3 x 13 x 127

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 4947 and 4953 is 3