Greatest Common Factor of 144376 and 144384

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, 144384 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144376 and 144384 is 8.

GCF(144376,144384) = 8

GCF of 144376 and 144384

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

GCF of:
and

Greatest Common Factor of 144376 and 144384

GCF of 144376 and 144384 is 8

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 144384


2 144384
2 72192
2 36096
2 18048
2 9024
2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 144384 are 2,3,47. Prime factorization of 144384 in exponential form is:

144384 = 210×31×471

∴ So by taking common prime factors GCF of 144376 and 144384 is 8

Greatest Common Factor of 144376 and 144384 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 144384

List of positive integer factors of 144384 that divides 144384 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,128,141,188,192,256,282,376,384,512,564,752,768,1024,1128,1504,1536,2256,3008,3072,4512,6016,9024,12032,18048,24064,36096,48128,72192,144384

Greatest Common Factor

We found the factors and prime factorization of 144376 and 144384. The biggest common factor number is the GCF number.
So the greatest common factor 144376 and 144384 is 8.

Also check out the Least Common Multiple of 144376 and 144384

Properties of GCF 144376 and 144384

(i) The GCF of 144376 and 144384 is associative

GCF of 144376 and 144384 = GCF of 144384 and 144376

Related Greatest Common Factor of 144376

Related Greatest Common Factor of 144384

Frequently Asked Questions on GCF of 144376 and 144384

1. What is the GCF of 144376 and 144384?

Answer: GCF of 144376 and 144384 is 8.

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 144384?

Answer: Factors of 144384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 128, 141, 188, 192, 256, 282, 376, 384, 512, 564, 752, 768, 1024, 1128, 1504, 1536, 2256, 3008, 3072, 4512, 6016, 9024, 12032, 18048, 24064, 36096, 48128, 72192, 144384. There are 44 integers that are factors of 144384. The greatest factor of 144384 is 144384.

4. How to Find the GCF of 144376 and 144384?

Answer:

Greatest Common Factor of 144376 and 144384 = 8

Step 1: Find the prime factorization of 144376

144376 = 2 x 2 x 2 x 18047

Step 2: Find the prime factorization of 144384

144384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 144376 and 144384 is 8