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 141, 143 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 141 and 143 is 1.
GCF(141,143) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 141
3 | 141 |
47 | 47 |
1 |
Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:
141 = 31×471
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
∴ So by taking common prime factors GCF of 141 and 143 is 1
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors and prime factorization of 141 and 143. The biggest common factor number is the GCF number.
So the greatest common factor 141 and 143 is 1.
Also check out the Least Common Multiple of 141 and 143
(i) The GCF of 141 and 143 is associative
GCF of 141 and 143 = GCF of 143 and 141
1. What is the GCF of 141 and 143?
Answer: GCF of 141 and 143 is 1.
2. What are the Factors of 141?
Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.
3. 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.
4. How to Find the GCF of 141 and 143?
Answer:
Greatest Common Factor of 141 and 143 = 1
Step 1: Find the prime factorization of 141
141 = 3 x 47
Step 2: Find the prime factorization of 143
143 = 11 x 13
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 141 and 143 is 1