Greatest Common Factor of 144 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 144, 145 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144 and 145 is 1.

GCF(144,145) = 1

GCF of 144 and 145

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

GCF of:
and

Greatest Common Factor of 144 and 145

GCF of 144 and 145 is 1

Prime Factorization of 144


2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 144 are 2,3. Prime factorization of 144 in exponential form is:

144 = 24×32

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 144 and 145 is 1

Greatest Common Factor of 144 and 145 by matching factors method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

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 144 and 145. The biggest common factor number is the GCF number.
So the greatest common factor 144 and 145 is 1.

Also check out the Least Common Multiple of 144 and 145

Properties of GCF 144 and 145

(i) The GCF of 144 and 145 is associative

GCF of 144 and 145 = GCF of 145 and 144

Related Greatest Common Factor of 144

Related Greatest Common Factor of 145

Frequently Asked Questions on GCF of 144 and 145

1. What is the GCF of 144 and 145?

Answer: GCF of 144 and 145 is 1.

2. What are the Factors of 144?

Answer: Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. There are 15 integers that are factors of 144. The greatest factor of 144 is 144.

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 144 and 145?

Answer:

Greatest Common Factor of 144 and 145 = 1

Step 1: Find the prime factorization of 144

144 = 2 x 2 x 2 x 2 x 3 x 3

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 144 and 145 is 1