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 143, 150 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 143 and 150 is 1.
GCF(143,150) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 143
11 | 143 |
13 | 13 |
1 |
Prime factors of 143 are 11,13. Prime factorization of 143 in exponential form is:
143 = 111×131
Prime Factorization of 150
2 | 150 |
3 | 75 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 150 are 2,3,5. Prime factorization of 150 in exponential form is:
150 = 21×31×52
∴ So by taking common prime factors GCF of 143 and 150 is 1
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors and prime factorization of 143 and 150. The biggest common factor number is the GCF number.
So the greatest common factor 143 and 150 is 1.
Also check out the Least Common Multiple of 143 and 150
(i) The GCF of 143 and 150 is associative
GCF of 143 and 150 = GCF of 150 and 143
1. What is the GCF of 143 and 150?
Answer: GCF of 143 and 150 is 1.
2. What are the Factors of 143?
Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.
3. What are the Factors of 150?
Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.
4. How to Find the GCF of 143 and 150?
Answer:
Greatest Common Factor of 143 and 150 = 1
Step 1: Find the prime factorization of 143
143 = 11 x 13
Step 2: Find the prime factorization of 150
150 = 2 x 3 x 5 x 5
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 143 and 150 is 1