Greatest Common Factor of 7938 and 7940

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, 7940 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7938 and 7940 is 2.

GCF(7938,7940) = 2

GCF of 7938 and 7940

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

GCF of:
and

Greatest Common Factor of 7938 and 7940

GCF of 7938 and 7940 is 2

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 7940


2 7940
2 3970
5 1985
397 397
1

Prime factors of 7940 are 2,5,397. Prime factorization of 7940 in exponential form is:

7940 = 22×51×3971

∴ So by taking common prime factors GCF of 7938 and 7940 is 2

Greatest Common Factor of 7938 and 7940 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 7940

List of positive integer factors of 7940 that divides 7940 without a remainder.

1,2,4,5,10,20,397,794,1588,1985,3970,7940

Greatest Common Factor

We found the factors and prime factorization of 7938 and 7940. The biggest common factor number is the GCF number.
So the greatest common factor 7938 and 7940 is 2.

Also check out the Least Common Multiple of 7938 and 7940

Properties of GCF 7938 and 7940

(i) The GCF of 7938 and 7940 is associative

GCF of 7938 and 7940 = GCF of 7940 and 7938

Related Greatest Common Factor of 7938

Related Greatest Common Factor of 7940

Frequently Asked Questions on GCF of 7938 and 7940

1. What is the GCF of 7938 and 7940?

Answer: GCF of 7938 and 7940 is 2.

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 7940?

Answer: Factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940. There are 12 integers that are factors of 7940. The greatest factor of 7940 is 7940.

4. How to Find the GCF of 7938 and 7940?

Answer:

Greatest Common Factor of 7938 and 7940 = 2

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 7940

7940 = 2 x 2 x 5 x 397

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 7938 and 7940 is 2