Greatest Common Factor of 4947 and 4954

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, 4954 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4947 and 4954 is 1.

GCF(4947,4954) = 1

GCF of 4947 and 4954

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

GCF of:
and

Greatest Common Factor of 4947 and 4954

GCF of 4947 and 4954 is 1

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 4954


2 4954
2477 2477
1

Prime factors of 4954 are 2,2477. Prime factorization of 4954 in exponential form is:

4954 = 21×24771

∴ So by taking common prime factors GCF of 4947 and 4954 is 1

Greatest Common Factor of 4947 and 4954 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 4954

List of positive integer factors of 4954 that divides 4954 without a remainder.

1,2,2477,4954

Greatest Common Factor

We found the factors and prime factorization of 4947 and 4954. The biggest common factor number is the GCF number.
So the greatest common factor 4947 and 4954 is 1.

Also check out the Least Common Multiple of 4947 and 4954

Properties of GCF 4947 and 4954

(i) The GCF of 4947 and 4954 is associative

GCF of 4947 and 4954 = GCF of 4954 and 4947

Related Greatest Common Factor of 4947

Related Greatest Common Factor of 4954

Frequently Asked Questions on GCF of 4947 and 4954

1. What is the GCF of 4947 and 4954?

Answer: GCF of 4947 and 4954 is 1.

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 4954?

Answer: Factors of 4954 are 1, 2, 2477, 4954. There are 4 integers that are factors of 4954. The greatest factor of 4954 is 4954.

4. How to Find the GCF of 4947 and 4954?

Answer:

Greatest Common Factor of 4947 and 4954 = 1

Step 1: Find the prime factorization of 4947

4947 = 3 x 17 x 97

Step 2: Find the prime factorization of 4954

4954 = 2 x 2477

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4947 and 4954 is 1