Greatest Common Factor of 945 and 950

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 945, 950 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 945 and 950 is 5.

GCF(945,950) = 5

GCF of 945 and 950

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

GCF of:
and

Greatest Common Factor of 945 and 950

GCF of 945 and 950 is 5

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

Prime Factorization of 950


2 950
5 475
5 95
19 19
1

Prime factors of 950 are 2,5,19. Prime factorization of 950 in exponential form is:

950 = 21×52×191

∴ So by taking common prime factors GCF of 945 and 950 is 5

Greatest Common Factor of 945 and 950 by matching factors method

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

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors and prime factorization of 945 and 950. The biggest common factor number is the GCF number.
So the greatest common factor 945 and 950 is 5.

Also check out the Least Common Multiple of 945 and 950

Properties of GCF 945 and 950

(i) The GCF of 945 and 950 is associative

GCF of 945 and 950 = GCF of 950 and 945

Related Greatest Common Factor of 945

Related Greatest Common Factor of 950

Frequently Asked Questions on GCF of 945 and 950

1. What is the GCF of 945 and 950?

Answer: GCF of 945 and 950 is 5.

2. 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.

3. What are the Factors of 950?

Answer: Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950. There are 12 integers that are factors of 950. The greatest factor of 950 is 950.

4. How to Find the GCF of 945 and 950?

Answer:

Greatest Common Factor of 945 and 950 = 5

Step 1: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

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 945 and 950 is 5