Greatest Common Factor of 143 and 145

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, 145 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 143 and 145 is 1.

GCF(143,145) = 1

GCF of 143 and 145

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

GCF of:
and

Greatest Common Factor of 143 and 145

GCF of 143 and 145 is 1

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 145


5 145
29 29
1

Prime factors of 145 are 5,29. Prime factorization of 145 in exponential form is:

145 = 51×291

∴ So by taking common prime factors GCF of 143 and 145 is 1

Greatest Common Factor of 143 and 145 by matching factors method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors and prime factorization of 143 and 145. The biggest common factor number is the GCF number.
So the greatest common factor 143 and 145 is 1.

Also check out the Least Common Multiple of 143 and 145

Properties of GCF 143 and 145

(i) The GCF of 143 and 145 is associative

GCF of 143 and 145 = GCF of 145 and 143

Related Greatest Common Factor of 143

Related Greatest Common Factor of 145

Frequently Asked Questions on GCF of 143 and 145

1. What is the GCF of 143 and 145?

Answer: GCF of 143 and 145 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 145?

Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.

4. How to Find the GCF of 143 and 145?

Answer:

Greatest Common Factor of 143 and 145 = 1

Step 1: Find the prime factorization of 143

143 = 11 x 13

Step 2: Find the prime factorization of 145

145 = 5 x 29

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 145 is 1