Greatest Common Factor of 1950 and 1955

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 1950, 1955 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1950 and 1955 is 5.

GCF(1950,1955) = 5

GCF of 1950 and 1955

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

GCF of:
and

Greatest Common Factor of 1950 and 1955

GCF of 1950 and 1955 is 5

Prime Factorization of 1950


2 1950
3 975
5 325
5 65
13 13
1

Prime factors of 1950 are 2,3,5,13. Prime factorization of 1950 in exponential form is:

1950 = 21×31×52×131

Prime Factorization of 1955


5 1955
17 391
23 23
1

Prime factors of 1955 are 5,17,23. Prime factorization of 1955 in exponential form is:

1955 = 51×171×231

∴ So by taking common prime factors GCF of 1950 and 1955 is 5

Greatest Common Factor of 1950 and 1955 by matching factors method

Factors of 1950

List of positive integer factors of 1950 that divides 1950 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950

Factors of 1955

List of positive integer factors of 1955 that divides 1955 without a remainder.

1,5,17,23,85,115,391,1955

Greatest Common Factor

We found the factors and prime factorization of 1950 and 1955. The biggest common factor number is the GCF number.
So the greatest common factor 1950 and 1955 is 5.

Also check out the Least Common Multiple of 1950 and 1955

Properties of GCF 1950 and 1955

(i) The GCF of 1950 and 1955 is associative

GCF of 1950 and 1955 = GCF of 1955 and 1950

Related Greatest Common Factor of 1950

Related Greatest Common Factor of 1955

Frequently Asked Questions on GCF of 1950 and 1955

1. What is the GCF of 1950 and 1955?

Answer: GCF of 1950 and 1955 is 5.

2. What are the Factors of 1950?

Answer: Factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950. There are 24 integers that are factors of 1950. The greatest factor of 1950 is 1950.

3. What are the Factors of 1955?

Answer: Factors of 1955 are 1, 5, 17, 23, 85, 115, 391, 1955. There are 8 integers that are factors of 1955. The greatest factor of 1955 is 1955.

4. How to Find the GCF of 1950 and 1955?

Answer:

Greatest Common Factor of 1950 and 1955 = 5

Step 1: Find the prime factorization of 1950

1950 = 2 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 1955

1955 = 5 x 17 x 23

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 1950 and 1955 is 5