Greatest Common Factor of 144358 and 144362

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 144358, 144362 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144358 and 144362 is 2.

GCF(144358,144362) = 2

GCF of 144358 and 144362

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

GCF of:
and

Greatest Common Factor of 144358 and 144362

GCF of 144358 and 144362 is 2

Prime Factorization of 144358


2 144358
89 72179
811 811
1

Prime factors of 144358 are 2,89,811. Prime factorization of 144358 in exponential form is:

144358 = 21×891×8111

Prime Factorization of 144362


2 144362
19 72181
29 3799
131 131
1

Prime factors of 144362 are 2,19,29,131. Prime factorization of 144362 in exponential form is:

144362 = 21×191×291×1311

∴ So by taking common prime factors GCF of 144358 and 144362 is 2

Greatest Common Factor of 144358 and 144362 by matching factors method

Factors of 144358

List of positive integer factors of 144358 that divides 144358 without a remainder.

1,2,89,178,811,1622,72179,144358

Factors of 144362

List of positive integer factors of 144362 that divides 144362 without a remainder.

1,2,19,29,38,58,131,262,551,1102,2489,3799,4978,7598,72181,144362

Greatest Common Factor

We found the factors and prime factorization of 144358 and 144362. The biggest common factor number is the GCF number.
So the greatest common factor 144358 and 144362 is 2.

Also check out the Least Common Multiple of 144358 and 144362

Properties of GCF 144358 and 144362

(i) The GCF of 144358 and 144362 is associative

GCF of 144358 and 144362 = GCF of 144362 and 144358

Related Greatest Common Factor of 144358

Related Greatest Common Factor of 144362

Frequently Asked Questions on GCF of 144358 and 144362

1. What is the GCF of 144358 and 144362?

Answer: GCF of 144358 and 144362 is 2.

2. What are the Factors of 144358?

Answer: Factors of 144358 are 1, 2, 89, 178, 811, 1622, 72179, 144358. There are 8 integers that are factors of 144358. The greatest factor of 144358 is 144358.

3. What are the Factors of 144362?

Answer: Factors of 144362 are 1, 2, 19, 29, 38, 58, 131, 262, 551, 1102, 2489, 3799, 4978, 7598, 72181, 144362. There are 16 integers that are factors of 144362. The greatest factor of 144362 is 144362.

4. How to Find the GCF of 144358 and 144362?

Answer:

Greatest Common Factor of 144358 and 144362 = 2

Step 1: Find the prime factorization of 144358

144358 = 2 x 89 x 811

Step 2: Find the prime factorization of 144362

144362 = 2 x 19 x 29 x 131

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

GCF = 2

Step 4: Therefore, the greatest common factor of 144358 and 144362 is 2