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, 1953 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1950 and 1953 is 3.
GCF(1950,1953) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 1953
3 | 1953 |
3 | 651 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 1953 are 3,7,31. Prime factorization of 1953 in exponential form is:
1953 = 32×71×311
∴ So by taking common prime factors GCF of 1950 and 1953 is 3
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 1953
List of positive integer factors of 1953 that divides 1953 without a remainder.
1,3,7,9,21,31,63,93,217,279,651,1953
Greatest Common Factor
We found the factors and prime factorization of 1950 and 1953. The biggest common factor number is the GCF number.
So the greatest common factor 1950 and 1953 is 3.
Also check out the Least Common Multiple of 1950 and 1953
(i) The GCF of 1950 and 1953 is associative
GCF of 1950 and 1953 = GCF of 1953 and 1950
1. What is the GCF of 1950 and 1953?
Answer: GCF of 1950 and 1953 is 3.
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 1953?
Answer: Factors of 1953 are 1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 1953. There are 12 integers that are factors of 1953. The greatest factor of 1953 is 1953.
4. How to Find the GCF of 1950 and 1953?
Answer:
Greatest Common Factor of 1950 and 1953 = 3
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 1953
1953 = 3 x 3 x 7 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1950 and 1953 is 3