Greatest Common Factor of 144355 and 144360

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 144355, 144360 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144355 and 144360 is 5.

GCF(144355,144360) = 5

GCF of 144355 and 144360

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

GCF of:
and

Greatest Common Factor of 144355 and 144360

GCF of 144355 and 144360 is 5

Prime Factorization of 144355


5 144355
28871 28871
1

Prime factors of 144355 are 5,28871. Prime factorization of 144355 in exponential form is:

144355 = 51×288711

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

∴ So by taking common prime factors GCF of 144355 and 144360 is 5

Greatest Common Factor of 144355 and 144360 by matching factors method

Factors of 144355

List of positive integer factors of 144355 that divides 144355 without a remainder.

1,5,28871,144355

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

Greatest Common Factor

We found the factors and prime factorization of 144355 and 144360. The biggest common factor number is the GCF number.
So the greatest common factor 144355 and 144360 is 5.

Also check out the Least Common Multiple of 144355 and 144360

Properties of GCF 144355 and 144360

(i) The GCF of 144355 and 144360 is associative

GCF of 144355 and 144360 = GCF of 144360 and 144355

Related Greatest Common Factor of 144355

Related Greatest Common Factor of 144360

Frequently Asked Questions on GCF of 144355 and 144360

1. What is the GCF of 144355 and 144360?

Answer: GCF of 144355 and 144360 is 5.

2. What are the Factors of 144355?

Answer: Factors of 144355 are 1, 5, 28871, 144355. There are 4 integers that are factors of 144355. The greatest factor of 144355 is 144355.

3. 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.

4. How to Find the GCF of 144355 and 144360?

Answer:

Greatest Common Factor of 144355 and 144360 = 5

Step 1: Find the prime factorization of 144355

144355 = 5 x 28871

Step 2: Find the prime factorization of 144360

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 144355 and 144360 is 5