Greatest Common Factor of 144376 and 144381

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 144376, 144381 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144376 and 144381 is 1.

GCF(144376,144381) = 1

GCF of 144376 and 144381

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

GCF of:
and

Greatest Common Factor of 144376 and 144381

GCF of 144376 and 144381 is 1

Prime Factorization of 144376


2 144376
2 72188
2 36094
18047 18047
1

Prime factors of 144376 are 2,18047. Prime factorization of 144376 in exponential form is:

144376 = 23×180471

Prime Factorization of 144381


3 144381
17 48127
19 2831
149 149
1

Prime factors of 144381 are 3,17,19,149. Prime factorization of 144381 in exponential form is:

144381 = 31×171×191×1491

∴ So by taking common prime factors GCF of 144376 and 144381 is 1

Greatest Common Factor of 144376 and 144381 by matching factors method

Factors of 144376

List of positive integer factors of 144376 that divides 144376 without a remainder.

1,2,4,8,18047,36094,72188,144376

Factors of 144381

List of positive integer factors of 144381 that divides 144381 without a remainder.

1,3,17,19,51,57,149,323,447,969,2533,2831,7599,8493,48127,144381

Greatest Common Factor

We found the factors and prime factorization of 144376 and 144381. The biggest common factor number is the GCF number.
So the greatest common factor 144376 and 144381 is 1.

Also check out the Least Common Multiple of 144376 and 144381

Properties of GCF 144376 and 144381

(i) The GCF of 144376 and 144381 is associative

GCF of 144376 and 144381 = GCF of 144381 and 144376

Related Greatest Common Factor of 144376

Related Greatest Common Factor of 144381

Frequently Asked Questions on GCF of 144376 and 144381

1. What is the GCF of 144376 and 144381?

Answer: GCF of 144376 and 144381 is 1.

2. What are the Factors of 144376?

Answer: Factors of 144376 are 1, 2, 4, 8, 18047, 36094, 72188, 144376. There are 8 integers that are factors of 144376. The greatest factor of 144376 is 144376.

3. What are the Factors of 144381?

Answer: Factors of 144381 are 1, 3, 17, 19, 51, 57, 149, 323, 447, 969, 2533, 2831, 7599, 8493, 48127, 144381. There are 16 integers that are factors of 144381. The greatest factor of 144381 is 144381.

4. How to Find the GCF of 144376 and 144381?

Answer:

Greatest Common Factor of 144376 and 144381 = 1

Step 1: Find the prime factorization of 144376

144376 = 2 x 2 x 2 x 18047

Step 2: Find the prime factorization of 144381

144381 = 3 x 17 x 19 x 149

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 144376 and 144381 is 1