Greatest Common Factor of 950 and 955

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 950, 955 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 950 and 955 is 5.

GCF(950,955) = 5

GCF of 950 and 955

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

GCF of:
and

Greatest Common Factor of 950 and 955

GCF of 950 and 955 is 5

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

Prime Factorization of 955


5 955
191 191
1

Prime factors of 955 are 5,191. Prime factorization of 955 in exponential form is:

955 = 51×1911

∴ So by taking common prime factors GCF of 950 and 955 is 5

Greatest Common Factor of 950 and 955 by matching factors method

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

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors and prime factorization of 950 and 955. The biggest common factor number is the GCF number.
So the greatest common factor 950 and 955 is 5.

Also check out the Least Common Multiple of 950 and 955

Properties of GCF 950 and 955

(i) The GCF of 950 and 955 is associative

GCF of 950 and 955 = GCF of 955 and 950

Related Greatest Common Factor of 950

Related Greatest Common Factor of 955

Frequently Asked Questions on GCF of 950 and 955

1. What is the GCF of 950 and 955?

Answer: GCF of 950 and 955 is 5.

2. 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.

3. What are the Factors of 955?

Answer: Factors of 955 are 1, 5, 191, 955. There are 4 integers that are factors of 955. The greatest factor of 955 is 955.

4. How to Find the GCF of 950 and 955?

Answer:

Greatest Common Factor of 950 and 955 = 5

Step 1: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

Step 2: Find the prime factorization of 955

955 = 5 x 191

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 950 and 955 is 5