Greatest Common Factor of 7947 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 7947, 7950 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7947 and 7950 is 3.

GCF(7947,7950) = 3

GCF of 7947 and 7950

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

GCF of:
and

Greatest Common Factor of 7947 and 7950

GCF of 7947 and 7950 is 3

Prime Factorization of 7947


3 7947
3 2649
883 883
1

Prime factors of 7947 are 3,883. Prime factorization of 7947 in exponential form is:

7947 = 32×8831

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 7947 and 7950 is 3

Greatest Common Factor of 7947 and 7950 by matching factors method

Factors of 7947

List of positive integer factors of 7947 that divides 7947 without a remainder.

1,3,9,883,2649,7947

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 7947 and 7950. The biggest common factor number is the GCF number.
So the greatest common factor 7947 and 7950 is 3.

Also check out the Least Common Multiple of 7947 and 7950

Properties of GCF 7947 and 7950

(i) The GCF of 7947 and 7950 is associative

GCF of 7947 and 7950 = GCF of 7950 and 7947

Related Greatest Common Factor of 7947

Related Greatest Common Factor of 7950

Frequently Asked Questions on GCF of 7947 and 7950

1. What is the GCF of 7947 and 7950?

Answer: GCF of 7947 and 7950 is 3.

2. What are the Factors of 7947?

Answer: Factors of 7947 are 1, 3, 9, 883, 2649, 7947. There are 6 integers that are factors of 7947. The greatest factor of 7947 is 7947.

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 7947 and 7950?

Answer:

Greatest Common Factor of 7947 and 7950 = 3

Step 1: Find the prime factorization of 7947

7947 = 3 x 3 x 883

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 = 3

Step 4: Therefore, the greatest common factor of 7947 and 7950 is 3