Greatest Common Factor of 144389 and 144396

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 144389, 144396 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144389 and 144396 is 7.

GCF(144389,144396) = 7

GCF of 144389 and 144396

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

GCF of:
and

Greatest Common Factor of 144389 and 144396

GCF of 144389 and 144396 is 7

Prime Factorization of 144389


7 144389
20627 20627
1

Prime factors of 144389 are 7,20627. Prime factorization of 144389 in exponential form is:

144389 = 71×206271

Prime Factorization of 144396


2 144396
2 72198
3 36099
3 12033
3 4011
7 1337
191 191
1

Prime factors of 144396 are 2,3,7,191. Prime factorization of 144396 in exponential form is:

144396 = 22×33×71×1911

∴ So by taking common prime factors GCF of 144389 and 144396 is 7

Greatest Common Factor of 144389 and 144396 by matching factors method

Factors of 144389

List of positive integer factors of 144389 that divides 144389 without a remainder.

1,7,20627,144389

Factors of 144396

List of positive integer factors of 144396 that divides 144396 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,191,252,378,382,573,756,764,1146,1337,1719,2292,2674,3438,4011,5157,5348,6876,8022,10314,12033,16044,20628,24066,36099,48132,72198,144396

Greatest Common Factor

We found the factors and prime factorization of 144389 and 144396. The biggest common factor number is the GCF number.
So the greatest common factor 144389 and 144396 is 7.

Also check out the Least Common Multiple of 144389 and 144396

Properties of GCF 144389 and 144396

(i) The GCF of 144389 and 144396 is associative

GCF of 144389 and 144396 = GCF of 144396 and 144389

Related Greatest Common Factor of 144389

Related Greatest Common Factor of 144396

Frequently Asked Questions on GCF of 144389 and 144396

1. What is the GCF of 144389 and 144396?

Answer: GCF of 144389 and 144396 is 7.

2. What are the Factors of 144389?

Answer: Factors of 144389 are 1, 7, 20627, 144389. There are 4 integers that are factors of 144389. The greatest factor of 144389 is 144389.

3. What are the Factors of 144396?

Answer: Factors of 144396 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 191, 252, 378, 382, 573, 756, 764, 1146, 1337, 1719, 2292, 2674, 3438, 4011, 5157, 5348, 6876, 8022, 10314, 12033, 16044, 20628, 24066, 36099, 48132, 72198, 144396. There are 48 integers that are factors of 144396. The greatest factor of 144396 is 144396.

4. How to Find the GCF of 144389 and 144396?

Answer:

Greatest Common Factor of 144389 and 144396 = 7

Step 1: Find the prime factorization of 144389

144389 = 7 x 20627

Step 2: Find the prime factorization of 144396

144396 = 2 x 2 x 3 x 3 x 3 x 7 x 191

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

GCF = 7

Step 4: Therefore, the greatest common factor of 144389 and 144396 is 7