Greatest Common Factor of 4959 and 4962

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 4959, 4962 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4959 and 4962 is 3.

GCF(4959,4962) = 3

GCF of 4959 and 4962

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

GCF of:
and

Greatest Common Factor of 4959 and 4962

GCF of 4959 and 4962 is 3

Prime Factorization of 4959


3 4959
3 1653
19 551
29 29
1

Prime factors of 4959 are 3,19,29. Prime factorization of 4959 in exponential form is:

4959 = 32×191×291

Prime Factorization of 4962


2 4962
3 2481
827 827
1

Prime factors of 4962 are 2,3,827. Prime factorization of 4962 in exponential form is:

4962 = 21×31×8271

∴ So by taking common prime factors GCF of 4959 and 4962 is 3

Greatest Common Factor of 4959 and 4962 by matching factors method

Factors of 4959

List of positive integer factors of 4959 that divides 4959 without a remainder.

1,3,9,19,29,57,87,171,261,551,1653,4959

Factors of 4962

List of positive integer factors of 4962 that divides 4962 without a remainder.

1,2,3,6,827,1654,2481,4962

Greatest Common Factor

We found the factors and prime factorization of 4959 and 4962. The biggest common factor number is the GCF number.
So the greatest common factor 4959 and 4962 is 3.

Also check out the Least Common Multiple of 4959 and 4962

Properties of GCF 4959 and 4962

(i) The GCF of 4959 and 4962 is associative

GCF of 4959 and 4962 = GCF of 4962 and 4959

Related Greatest Common Factor of 4959

Related Greatest Common Factor of 4962

Frequently Asked Questions on GCF of 4959 and 4962

1. What is the GCF of 4959 and 4962?

Answer: GCF of 4959 and 4962 is 3.

2. What are the Factors of 4959?

Answer: Factors of 4959 are 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959. There are 12 integers that are factors of 4959. The greatest factor of 4959 is 4959.

3. What are the Factors of 4962?

Answer: Factors of 4962 are 1, 2, 3, 6, 827, 1654, 2481, 4962. There are 8 integers that are factors of 4962. The greatest factor of 4962 is 4962.

4. How to Find the GCF of 4959 and 4962?

Answer:

Greatest Common Factor of 4959 and 4962 = 3

Step 1: Find the prime factorization of 4959

4959 = 3 x 3 x 19 x 29

Step 2: Find the prime factorization of 4962

4962 = 2 x 3 x 827

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 4959 and 4962 is 3