Greatest Common Factor of 4954 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 4954, 4962 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4954 and 4962 is 2.

GCF(4954,4962) = 2

GCF of 4954 and 4962

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

GCF of:
and

Greatest Common Factor of 4954 and 4962

GCF of 4954 and 4962 is 2

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

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 4954 and 4962 is 2

Greatest Common Factor of 4954 and 4962 by matching factors method

Factors of 4954

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

1,2,2477,4954

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 4954 and 4962. The biggest common factor number is the GCF number.
So the greatest common factor 4954 and 4962 is 2.

Also check out the Least Common Multiple of 4954 and 4962

Properties of GCF 4954 and 4962

(i) The GCF of 4954 and 4962 is associative

GCF of 4954 and 4962 = GCF of 4962 and 4954

Related Greatest Common Factor of 4954

Related Greatest Common Factor of 4962

Frequently Asked Questions on GCF of 4954 and 4962

1. What is the GCF of 4954 and 4962?

Answer: GCF of 4954 and 4962 is 2.

2. 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.

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 4954 and 4962?

Answer:

Greatest Common Factor of 4954 and 4962 = 2

Step 1: Find the prime factorization of 4954

4954 = 2 x 2477

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 = 2

Step 4: Therefore, the greatest common factor of 4954 and 4962 is 2