Greatest Common Factor of 144364 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 144364, 144372 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144364 and 144372 is 4.

GCF(144364,144372) = 4

GCF of 144364 and 144372

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

GCF of:
and

Greatest Common Factor of 144364 and 144372

GCF of 144364 and 144372 is 4

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

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 144364 and 144372 is 4

Greatest Common Factor of 144364 and 144372 by matching factors method

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

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 144364 and 144372. The biggest common factor number is the GCF number.
So the greatest common factor 144364 and 144372 is 4.

Also check out the Least Common Multiple of 144364 and 144372

Properties of GCF 144364 and 144372

(i) The GCF of 144364 and 144372 is associative

GCF of 144364 and 144372 = GCF of 144372 and 144364

Related Greatest Common Factor of 144364

Related Greatest Common Factor of 144372

Frequently Asked Questions on GCF of 144364 and 144372

1. What is the GCF of 144364 and 144372?

Answer: GCF of 144364 and 144372 is 4.

2. 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.

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 144364 and 144372?

Answer:

Greatest Common Factor of 144364 and 144372 = 4

Step 1: Find the prime factorization of 144364

144364 = 2 x 2 x 11 x 17 x 193

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 2 = 4

Step 4: Therefore, the greatest common factor of 144364 and 144372 is 4