Greatest Common Factor of 141 and 143

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

GCF of 141 and 143

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 141 and 143

GCF of 141 and 143 is 1

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

Greatest Common Factor of 141 and 143 by matching factors method

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

Properties of GCF 141 and 143

(i) The GCF of 141 and 143 is associative

GCF of 141 and 143 = GCF of 143 and 141

Frequently Asked Questions on GCF of 141 and 143

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