Greatest Common Factor of 949 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 949, 950 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 949 and 950 is 1.

GCF(949,950) = 1

GCF of 949 and 950

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

GCF of:
and

Greatest Common Factor of 949 and 950

GCF of 949 and 950 is 1

Prime Factorization of 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

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 949 and 950 is 1

Greatest Common Factor of 949 and 950 by matching factors method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

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 949 and 950. The biggest common factor number is the GCF number.
So the greatest common factor 949 and 950 is 1.

Also check out the Least Common Multiple of 949 and 950

Properties of GCF 949 and 950

(i) The GCF of 949 and 950 is associative

GCF of 949 and 950 = GCF of 950 and 949

Related Greatest Common Factor of 949

Related Greatest Common Factor of 950

Frequently Asked Questions on GCF of 949 and 950

1. What is the GCF of 949 and 950?

Answer: GCF of 949 and 950 is 1.

2. What are the Factors of 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

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 949 and 950?

Answer:

Greatest Common Factor of 949 and 950 = 1

Step 1: Find the prime factorization of 949

949 = 13 x 73

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 = = 1

Step 4: Therefore, the greatest common factor of 949 and 950 is 1