Greatest Common Factor of 144380 and 144387

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 144380, 144387 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144380 and 144387 is 1.

GCF(144380,144387) = 1

GCF of 144380 and 144387

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

GCF of:
and

Greatest Common Factor of 144380 and 144387

GCF of 144380 and 144387 is 1

Prime Factorization of 144380


2 144380
2 72190
5 36095
7219 7219
1

Prime factors of 144380 are 2,5,7219. Prime factorization of 144380 in exponential form is:

144380 = 22×51×72191

Prime Factorization of 144387


3 144387
3 48129
61 16043
263 263
1

Prime factors of 144387 are 3,61,263. Prime factorization of 144387 in exponential form is:

144387 = 32×611×2631

∴ So by taking common prime factors GCF of 144380 and 144387 is 1

Greatest Common Factor of 144380 and 144387 by matching factors method

Factors of 144380

List of positive integer factors of 144380 that divides 144380 without a remainder.

1,2,4,5,10,20,7219,14438,28876,36095,72190,144380

Factors of 144387

List of positive integer factors of 144387 that divides 144387 without a remainder.

1,3,9,61,183,263,549,789,2367,16043,48129,144387

Greatest Common Factor

We found the factors and prime factorization of 144380 and 144387. The biggest common factor number is the GCF number.
So the greatest common factor 144380 and 144387 is 1.

Also check out the Least Common Multiple of 144380 and 144387

Properties of GCF 144380 and 144387

(i) The GCF of 144380 and 144387 is associative

GCF of 144380 and 144387 = GCF of 144387 and 144380

Related Greatest Common Factor of 144380

Related Greatest Common Factor of 144387

Frequently Asked Questions on GCF of 144380 and 144387

1. What is the GCF of 144380 and 144387?

Answer: GCF of 144380 and 144387 is 1.

2. What are the Factors of 144380?

Answer: Factors of 144380 are 1, 2, 4, 5, 10, 20, 7219, 14438, 28876, 36095, 72190, 144380. There are 12 integers that are factors of 144380. The greatest factor of 144380 is 144380.

3. What are the Factors of 144387?

Answer: Factors of 144387 are 1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387. There are 12 integers that are factors of 144387. The greatest factor of 144387 is 144387.

4. How to Find the GCF of 144380 and 144387?

Answer:

Greatest Common Factor of 144380 and 144387 = 1

Step 1: Find the prime factorization of 144380

144380 = 2 x 2 x 5 x 7219

Step 2: Find the prime factorization of 144387

144387 = 3 x 3 x 61 x 263

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 144380 and 144387 is 1