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, 146 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 143 and 146 is 1.
GCF(143,146) = 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 146
2 | 146 |
73 | 73 |
1 |
Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:
146 = 21×731
∴ So by taking common prime factors GCF of 143 and 146 is 1
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors and prime factorization of 143 and 146. The biggest common factor number is the GCF number.
So the greatest common factor 143 and 146 is 1.
Also check out the Least Common Multiple of 143 and 146
(i) The GCF of 143 and 146 is associative
GCF of 143 and 146 = GCF of 146 and 143
1. What is the GCF of 143 and 146?
Answer: GCF of 143 and 146 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 146?
Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.
4. How to Find the GCF of 143 and 146?
Answer:
Greatest Common Factor of 143 and 146 = 1
Step 1: Find the prime factorization of 143
143 = 11 x 13
Step 2: Find the prime factorization of 146
146 = 2 x 73
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 146 is 1