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, 954 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 950 and 954 is 2.
GCF(950,954) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 954
2 | 954 |
3 | 477 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 954 are 2,3,53. Prime factorization of 954 in exponential form is:
954 = 21×32×531
∴ So by taking common prime factors GCF of 950 and 954 is 2
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 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors and prime factorization of 950 and 954. The biggest common factor number is the GCF number.
So the greatest common factor 950 and 954 is 2.
Also check out the Least Common Multiple of 950 and 954
(i) The GCF of 950 and 954 is associative
GCF of 950 and 954 = GCF of 954 and 950
1. What is the GCF of 950 and 954?
Answer: GCF of 950 and 954 is 2.
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 954?
Answer: Factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954. There are 12 integers that are factors of 954. The greatest factor of 954 is 954.
4. How to Find the GCF of 950 and 954?
Answer:
Greatest Common Factor of 950 and 954 = 2
Step 1: Find the prime factorization of 950
950 = 2 x 5 x 5 x 19
Step 2: Find the prime factorization of 954
954 = 2 x 3 x 3 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 950 and 954 is 2