Greatest Common Factor of 7938 and 7944

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 7938, 7944 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7938 and 7944 is 6.

GCF(7938,7944) = 6

GCF of 7938 and 7944

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

GCF of:
and

Greatest Common Factor of 7938 and 7944

GCF of 7938 and 7944 is 6

Prime Factorization of 7938


2 7938
3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 7938 are 2,3,7. Prime factorization of 7938 in exponential form is:

7938 = 21×34×72

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

∴ So by taking common prime factors GCF of 7938 and 7944 is 6

Greatest Common Factor of 7938 and 7944 by matching factors method

Factors of 7938

List of positive integer factors of 7938 that divides 7938 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938

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

Greatest Common Factor

We found the factors and prime factorization of 7938 and 7944. The biggest common factor number is the GCF number.
So the greatest common factor 7938 and 7944 is 6.

Also check out the Least Common Multiple of 7938 and 7944

Properties of GCF 7938 and 7944

(i) The GCF of 7938 and 7944 is associative

GCF of 7938 and 7944 = GCF of 7944 and 7938

Related Greatest Common Factor of 7938

Related Greatest Common Factor of 7944

Frequently Asked Questions on GCF of 7938 and 7944

1. What is the GCF of 7938 and 7944?

Answer: GCF of 7938 and 7944 is 6.

2. What are the Factors of 7938?

Answer: Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938. There are 30 integers that are factors of 7938. The greatest factor of 7938 is 7938.

3. 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.

4. How to Find the GCF of 7938 and 7944?

Answer:

Greatest Common Factor of 7938 and 7944 = 6

Step 1: Find the prime factorization of 7938

7938 = 2 x 3 x 3 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 7944

7944 = 2 x 2 x 2 x 3 x 331

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 7938 and 7944 is 6