Greatest Common Factor of 935 and 940

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 935, 940 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 935 and 940 is 5.

GCF(935,940) = 5

GCF of 935 and 940

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

GCF of:
and

Greatest Common Factor of 935 and 940

GCF of 935 and 940 is 5

Prime Factorization of 935


5 935
11 187
17 17
1

Prime factors of 935 are 5,11,17. Prime factorization of 935 in exponential form is:

935 = 51×111×171

Prime Factorization of 940


2 940
2 470
5 235
47 47
1

Prime factors of 940 are 2,5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

∴ So by taking common prime factors GCF of 935 and 940 is 5

Greatest Common Factor of 935 and 940 by matching factors method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors and prime factorization of 935 and 940. The biggest common factor number is the GCF number.
So the greatest common factor 935 and 940 is 5.

Also check out the Least Common Multiple of 935 and 940

Properties of GCF 935 and 940

(i) The GCF of 935 and 940 is associative

GCF of 935 and 940 = GCF of 940 and 935

Related Greatest Common Factor of 935

Related Greatest Common Factor of 940

Frequently Asked Questions on GCF of 935 and 940

1. What is the GCF of 935 and 940?

Answer: GCF of 935 and 940 is 5.

2. What are the Factors of 935?

Answer: Factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935. There are 8 integers that are factors of 935. The greatest factor of 935 is 935.

3. What are the Factors of 940?

Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.

4. How to Find the GCF of 935 and 940?

Answer:

Greatest Common Factor of 935 and 940 = 5

Step 1: Find the prime factorization of 935

935 = 5 x 11 x 17

Step 2: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

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 935 and 940 is 5