Greatest Common Factor of 7938 and 7945

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, 7945 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7938 and 7945 is 7.

GCF(7938,7945) = 7

GCF of 7938 and 7945

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

GCF of:
and

Greatest Common Factor of 7938 and 7945

GCF of 7938 and 7945 is 7

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 7945


5 7945
7 1589
227 227
1

Prime factors of 7945 are 5,7,227. Prime factorization of 7945 in exponential form is:

7945 = 51×71×2271

∴ So by taking common prime factors GCF of 7938 and 7945 is 7

Greatest Common Factor of 7938 and 7945 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 7945

List of positive integer factors of 7945 that divides 7945 without a remainder.

1,5,7,35,227,1135,1589,7945

Greatest Common Factor

We found the factors and prime factorization of 7938 and 7945. The biggest common factor number is the GCF number.
So the greatest common factor 7938 and 7945 is 7.

Also check out the Least Common Multiple of 7938 and 7945

Properties of GCF 7938 and 7945

(i) The GCF of 7938 and 7945 is associative

GCF of 7938 and 7945 = GCF of 7945 and 7938

Related Greatest Common Factor of 7938

Related Greatest Common Factor of 7945

Frequently Asked Questions on GCF of 7938 and 7945

1. What is the GCF of 7938 and 7945?

Answer: GCF of 7938 and 7945 is 7.

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 7945?

Answer: Factors of 7945 are 1, 5, 7, 35, 227, 1135, 1589, 7945. There are 8 integers that are factors of 7945. The greatest factor of 7945 is 7945.

4. How to Find the GCF of 7938 and 7945?

Answer:

Greatest Common Factor of 7938 and 7945 = 7

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 7945

7945 = 5 x 7 x 227

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7938 and 7945 is 7