Greatest Common Factor of 4944 and 4950

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 4944, 4950 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4944 and 4950 is 6.

GCF(4944,4950) = 6

GCF of 4944 and 4950

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

GCF of:
and

Greatest Common Factor of 4944 and 4950

GCF of 4944 and 4950 is 6

Prime Factorization of 4944


2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 4944 are 2,3,103. Prime factorization of 4944 in exponential form is:

4944 = 24×31×1031

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

∴ So by taking common prime factors GCF of 4944 and 4950 is 6

Greatest Common Factor of 4944 and 4950 by matching factors method

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944

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

Greatest Common Factor

We found the factors and prime factorization of 4944 and 4950. The biggest common factor number is the GCF number.
So the greatest common factor 4944 and 4950 is 6.

Also check out the Least Common Multiple of 4944 and 4950

Properties of GCF 4944 and 4950

(i) The GCF of 4944 and 4950 is associative

GCF of 4944 and 4950 = GCF of 4950 and 4944

Related Greatest Common Factor of 4944

Related Greatest Common Factor of 4950

Frequently Asked Questions on GCF of 4944 and 4950

1. What is the GCF of 4944 and 4950?

Answer: GCF of 4944 and 4950 is 6.

2. What are the Factors of 4944?

Answer: Factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944. There are 20 integers that are factors of 4944. The greatest factor of 4944 is 4944.

3. 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.

4. How to Find the GCF of 4944 and 4950?

Answer:

Greatest Common Factor of 4944 and 4950 = 6

Step 1: Find the prime factorization of 4944

4944 = 2 x 2 x 2 x 2 x 3 x 103

Step 2: Find the prime factorization of 4950

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4944 and 4950 is 6