Greatest Common Factor of 940 and 945

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 940, 945 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 940 and 945 is 5.

GCF(940,945) = 5

GCF of 940 and 945

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

GCF of:
and

Greatest Common Factor of 940 and 945

GCF of 940 and 945 is 5

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

Prime Factorization of 945


3 945
3 315
3 105
5 35
7 7
1

Prime factors of 945 are 3,5,7. Prime factorization of 945 in exponential form is:

945 = 33×51×71

∴ So by taking common prime factors GCF of 940 and 945 is 5

Greatest Common Factor of 940 and 945 by matching factors method

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

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors and prime factorization of 940 and 945. The biggest common factor number is the GCF number.
So the greatest common factor 940 and 945 is 5.

Also check out the Least Common Multiple of 940 and 945

Properties of GCF 940 and 945

(i) The GCF of 940 and 945 is associative

GCF of 940 and 945 = GCF of 945 and 940

Related Greatest Common Factor of 940

Related Greatest Common Factor of 945

Frequently Asked Questions on GCF of 940 and 945

1. What is the GCF of 940 and 945?

Answer: GCF of 940 and 945 is 5.

2. 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.

3. What are the Factors of 945?

Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.

4. How to Find the GCF of 940 and 945?

Answer:

Greatest Common Factor of 940 and 945 = 5

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

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 940 and 945 is 5