Greatest Common Factor of 4950 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 4950, 4954 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4950 and 4954 is 2.

GCF(4950,4954) = 2

GCF of 4950 and 4954

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

GCF of:
and

Greatest Common Factor of 4950 and 4954

GCF of 4950 and 4954 is 2

Prime Factorization of 4950


2 4950
3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 4950 are 2,3,5,11. Prime factorization of 4950 in exponential form is:

4950 = 21×32×52×111

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 4950 and 4954 is 2

Greatest Common Factor of 4950 and 4954 by matching factors method

Factors of 4950

List of positive integer factors of 4950 that divides 4950 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,25,30,33,45,50,55,66,75,90,99,110,150,165,198,225,275,330,450,495,550,825,990,1650,2475,4950

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 4950 and 4954. The biggest common factor number is the GCF number.
So the greatest common factor 4950 and 4954 is 2.

Also check out the Least Common Multiple of 4950 and 4954

Properties of GCF 4950 and 4954

(i) The GCF of 4950 and 4954 is associative

GCF of 4950 and 4954 = GCF of 4954 and 4950

Related Greatest Common Factor of 4950

Related Greatest Common Factor of 4954

Frequently Asked Questions on GCF of 4950 and 4954

1. What is the GCF of 4950 and 4954?

Answer: GCF of 4950 and 4954 is 2.

2. What are the Factors of 4950?

Answer: Factors of 4950 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 150, 165, 198, 225, 275, 330, 450, 495, 550, 825, 990, 1650, 2475, 4950. There are 36 integers that are factors of 4950. The greatest factor of 4950 is 4950.

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 4950 and 4954?

Answer:

Greatest Common Factor of 4950 and 4954 = 2

Step 1: Find the prime factorization of 4950

4950 = 2 x 3 x 3 x 5 x 5 x 11

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 = 2

Step 4: Therefore, the greatest common factor of 4950 and 4954 is 2