Greatest Common Factor of 144360 and 144364

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, 144364 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144360 and 144364 is 4.

GCF(144360,144364) = 4

GCF of 144360 and 144364

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

GCF of:
and

Greatest Common Factor of 144360 and 144364

GCF of 144360 and 144364 is 4

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 144364


2 144364
2 72182
11 36091
17 3281
193 193
1

Prime factors of 144364 are 2,11,17,193. Prime factorization of 144364 in exponential form is:

144364 = 22×111×171×1931

∴ So by taking common prime factors GCF of 144360 and 144364 is 4

Greatest Common Factor of 144360 and 144364 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 144364

List of positive integer factors of 144364 that divides 144364 without a remainder.

1,2,4,11,17,22,34,44,68,187,193,374,386,748,772,2123,3281,4246,6562,8492,13124,36091,72182,144364

Greatest Common Factor

We found the factors and prime factorization of 144360 and 144364. The biggest common factor number is the GCF number.
So the greatest common factor 144360 and 144364 is 4.

Also check out the Least Common Multiple of 144360 and 144364

Properties of GCF 144360 and 144364

(i) The GCF of 144360 and 144364 is associative

GCF of 144360 and 144364 = GCF of 144364 and 144360

Related Greatest Common Factor of 144360

Related Greatest Common Factor of 144364

Frequently Asked Questions on GCF of 144360 and 144364

1. What is the GCF of 144360 and 144364?

Answer: GCF of 144360 and 144364 is 4.

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 144364?

Answer: Factors of 144364 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 193, 374, 386, 748, 772, 2123, 3281, 4246, 6562, 8492, 13124, 36091, 72182, 144364. There are 24 integers that are factors of 144364. The greatest factor of 144364 is 144364.

4. How to Find the GCF of 144360 and 144364?

Answer:

Greatest Common Factor of 144360 and 144364 = 4

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 144364

144364 = 2 x 2 x 11 x 17 x 193

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 144360 and 144364 is 4