Greatest Common Factor of 7940 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 7940, 7945 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7940 and 7945 is 5.

GCF(7940,7945) = 5

GCF of 7940 and 7945

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

GCF of:
and

Greatest Common Factor of 7940 and 7945

GCF of 7940 and 7945 is 5

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

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 7940 and 7945 is 5

Greatest Common Factor of 7940 and 7945 by matching factors method

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

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 7940 and 7945. The biggest common factor number is the GCF number.
So the greatest common factor 7940 and 7945 is 5.

Also check out the Least Common Multiple of 7940 and 7945

Properties of GCF 7940 and 7945

(i) The GCF of 7940 and 7945 is associative

GCF of 7940 and 7945 = GCF of 7945 and 7940

Related Greatest Common Factor of 7940

Related Greatest Common Factor of 7945

Frequently Asked Questions on GCF of 7940 and 7945

1. What is the GCF of 7940 and 7945?

Answer: GCF of 7940 and 7945 is 5.

2. 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.

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 7940 and 7945?

Answer:

Greatest Common Factor of 7940 and 7945 = 5

Step 1: Find the prime factorization of 7940

7940 = 2 x 2 x 5 x 397

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 = 5

Step 4: Therefore, the greatest common factor of 7940 and 7945 is 5