Greatest Common Factor of 144366 and 144372

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 144366, 144372 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144366 and 144372 is 6.

GCF(144366,144372) = 6

GCF of 144366 and 144372

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

GCF of:
and

Greatest Common Factor of 144366 and 144372

GCF of 144366 and 144372 is 6

Prime Factorization of 144366


2 144366
3 72183
24061 24061
1

Prime factors of 144366 are 2,3,24061. Prime factorization of 144366 in exponential form is:

144366 = 21×31×240611

Prime Factorization of 144372


2 144372
2 72186
3 36093
53 12031
227 227
1

Prime factors of 144372 are 2,3,53,227. Prime factorization of 144372 in exponential form is:

144372 = 22×31×531×2271

∴ So by taking common prime factors GCF of 144366 and 144372 is 6

Greatest Common Factor of 144366 and 144372 by matching factors method

Factors of 144366

List of positive integer factors of 144366 that divides 144366 without a remainder.

1,2,3,6,24061,48122,72183,144366

Factors of 144372

List of positive integer factors of 144372 that divides 144372 without a remainder.

1,2,3,4,6,12,53,106,159,212,227,318,454,636,681,908,1362,2724,12031,24062,36093,48124,72186,144372

Greatest Common Factor

We found the factors and prime factorization of 144366 and 144372. The biggest common factor number is the GCF number.
So the greatest common factor 144366 and 144372 is 6.

Also check out the Least Common Multiple of 144366 and 144372

Properties of GCF 144366 and 144372

(i) The GCF of 144366 and 144372 is associative

GCF of 144366 and 144372 = GCF of 144372 and 144366

Related Greatest Common Factor of 144366

Related Greatest Common Factor of 144372

Frequently Asked Questions on GCF of 144366 and 144372

1. What is the GCF of 144366 and 144372?

Answer: GCF of 144366 and 144372 is 6.

2. What are the Factors of 144366?

Answer: Factors of 144366 are 1, 2, 3, 6, 24061, 48122, 72183, 144366. There are 8 integers that are factors of 144366. The greatest factor of 144366 is 144366.

3. What are the Factors of 144372?

Answer: Factors of 144372 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 227, 318, 454, 636, 681, 908, 1362, 2724, 12031, 24062, 36093, 48124, 72186, 144372. There are 24 integers that are factors of 144372. The greatest factor of 144372 is 144372.

4. How to Find the GCF of 144366 and 144372?

Answer:

Greatest Common Factor of 144366 and 144372 = 6

Step 1: Find the prime factorization of 144366

144366 = 2 x 3 x 24061

Step 2: Find the prime factorization of 144372

144372 = 2 x 2 x 3 x 53 x 227

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 144366 and 144372 is 6