Greatest Common Factor of 4947 and 4955

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, 4955 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4947 and 4955 is 1.

GCF(4947,4955) = 1

GCF of 4947 and 4955

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

GCF of:
and

Greatest Common Factor of 4947 and 4955

GCF of 4947 and 4955 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 4955


5 4955
991 991
1

Prime factors of 4955 are 5,991. Prime factorization of 4955 in exponential form is:

4955 = 51×9911

∴ So by taking common prime factors GCF of 4947 and 4955 is 1

Greatest Common Factor of 4947 and 4955 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 4955

List of positive integer factors of 4955 that divides 4955 without a remainder.

1,5,991,4955

Greatest Common Factor

We found the factors and prime factorization of 4947 and 4955. The biggest common factor number is the GCF number.
So the greatest common factor 4947 and 4955 is 1.

Also check out the Least Common Multiple of 4947 and 4955

Properties of GCF 4947 and 4955

(i) The GCF of 4947 and 4955 is associative

GCF of 4947 and 4955 = GCF of 4955 and 4947

Related Greatest Common Factor of 4947

Related Greatest Common Factor of 4955

Frequently Asked Questions on GCF of 4947 and 4955

1. What is the GCF of 4947 and 4955?

Answer: GCF of 4947 and 4955 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 4955?

Answer: Factors of 4955 are 1, 5, 991, 4955. There are 4 integers that are factors of 4955. The greatest factor of 4955 is 4955.

4. How to Find the GCF of 4947 and 4955?

Answer:

Greatest Common Factor of 4947 and 4955 = 1

Step 1: Find the prime factorization of 4947

4947 = 3 x 17 x 97

Step 2: Find the prime factorization of 4955

4955 = 5 x 991

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 4955 is 1