Greatest Common Factor of 7944 and 7950

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 7944, 7950 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7944 and 7950 is 6.

GCF(7944,7950) = 6

GCF of 7944 and 7950

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

GCF of:
and

Greatest Common Factor of 7944 and 7950

GCF of 7944 and 7950 is 6

Prime Factorization of 7944


2 7944
2 3972
2 1986
3 993
331 331
1

Prime factors of 7944 are 2,3,331. Prime factorization of 7944 in exponential form is:

7944 = 23×31×3311

Prime Factorization of 7950


2 7950
3 3975
5 1325
5 265
53 53
1

Prime factors of 7950 are 2,3,5,53. Prime factorization of 7950 in exponential form is:

7950 = 21×31×52×531

∴ So by taking common prime factors GCF of 7944 and 7950 is 6

Greatest Common Factor of 7944 and 7950 by matching factors method

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

Factors of 7950

List of positive integer factors of 7950 that divides 7950 without a remainder.

1,2,3,5,6,10,15,25,30,50,53,75,106,150,159,265,318,530,795,1325,1590,2650,3975,7950

Greatest Common Factor

We found the factors and prime factorization of 7944 and 7950. The biggest common factor number is the GCF number.
So the greatest common factor 7944 and 7950 is 6.

Also check out the Least Common Multiple of 7944 and 7950

Properties of GCF 7944 and 7950

(i) The GCF of 7944 and 7950 is associative

GCF of 7944 and 7950 = GCF of 7950 and 7944

Related Greatest Common Factor of 7944

Related Greatest Common Factor of 7950

Frequently Asked Questions on GCF of 7944 and 7950

1. What is the GCF of 7944 and 7950?

Answer: GCF of 7944 and 7950 is 6.

2. What are the Factors of 7944?

Answer: Factors of 7944 are 1, 2, 3, 4, 6, 8, 12, 24, 331, 662, 993, 1324, 1986, 2648, 3972, 7944. There are 16 integers that are factors of 7944. The greatest factor of 7944 is 7944.

3. What are the Factors of 7950?

Answer: Factors of 7950 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 53, 75, 106, 150, 159, 265, 318, 530, 795, 1325, 1590, 2650, 3975, 7950. There are 24 integers that are factors of 7950. The greatest factor of 7950 is 7950.

4. How to Find the GCF of 7944 and 7950?

Answer:

Greatest Common Factor of 7944 and 7950 = 6

Step 1: Find the prime factorization of 7944

7944 = 2 x 2 x 2 x 3 x 331

Step 2: Find the prime factorization of 7950

7950 = 2 x 3 x 5 x 5 x 53

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 7944 and 7950 is 6