Greatest Common Factor of 144360 and 144368

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 144360, 144368 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144360 and 144368 is 8.

GCF(144360,144368) = 8

GCF of 144360 and 144368

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

GCF of:
and

Greatest Common Factor of 144360 and 144368

GCF of 144360 and 144368 is 8

Prime Factorization of 144360


2 144360
2 72180
2 36090
3 18045
3 6015
5 2005
401 401
1

Prime factors of 144360 are 2,3,5,401. Prime factorization of 144360 in exponential form is:

144360 = 23×32×51×4011

Prime Factorization of 144368


2 144368
2 72184
2 36092
2 18046
7 9023
1289 1289
1

Prime factors of 144368 are 2,7,1289. Prime factorization of 144368 in exponential form is:

144368 = 24×71×12891

∴ So by taking common prime factors GCF of 144360 and 144368 is 8

Greatest Common Factor of 144360 and 144368 by matching factors method

Factors of 144360

List of positive integer factors of 144360 that divides 144360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360,401,802,1203,1604,2005,2406,3208,3609,4010,4812,6015,7218,8020,9624,12030,14436,16040,18045,24060,28872,36090,48120,72180,144360

Factors of 144368

List of positive integer factors of 144368 that divides 144368 without a remainder.

1,2,4,7,8,14,16,28,56,112,1289,2578,5156,9023,10312,18046,20624,36092,72184,144368

Greatest Common Factor

We found the factors and prime factorization of 144360 and 144368. The biggest common factor number is the GCF number.
So the greatest common factor 144360 and 144368 is 8.

Also check out the Least Common Multiple of 144360 and 144368

Properties of GCF 144360 and 144368

(i) The GCF of 144360 and 144368 is associative

GCF of 144360 and 144368 = GCF of 144368 and 144360

Related Greatest Common Factor of 144360

Related Greatest Common Factor of 144368

Frequently Asked Questions on GCF of 144360 and 144368

1. What is the GCF of 144360 and 144368?

Answer: GCF of 144360 and 144368 is 8.

2. What are the Factors of 144360?

Answer: Factors of 144360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360, 401, 802, 1203, 1604, 2005, 2406, 3208, 3609, 4010, 4812, 6015, 7218, 8020, 9624, 12030, 14436, 16040, 18045, 24060, 28872, 36090, 48120, 72180, 144360. There are 48 integers that are factors of 144360. The greatest factor of 144360 is 144360.

3. What are the Factors of 144368?

Answer: Factors of 144368 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 1289, 2578, 5156, 9023, 10312, 18046, 20624, 36092, 72184, 144368. There are 20 integers that are factors of 144368. The greatest factor of 144368 is 144368.

4. How to Find the GCF of 144360 and 144368?

Answer:

Greatest Common Factor of 144360 and 144368 = 8

Step 1: Find the prime factorization of 144360

144360 = 2 x 2 x 2 x 3 x 3 x 5 x 401

Step 2: Find the prime factorization of 144368

144368 = 2 x 2 x 2 x 2 x 7 x 1289

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 144360 and 144368 is 8