Greatest Common Factor of 144362 and 144367

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 144362, 144367 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144362 and 144367 is 1.

GCF(144362,144367) = 1

GCF of 144362 and 144367

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

GCF of:
and

Greatest Common Factor of 144362 and 144367

GCF of 144362 and 144367 is 1

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

Prime Factorization of 144367


31 144367
4657 4657
1

Prime factors of 144367 are 31,4657. Prime factorization of 144367 in exponential form is:

144367 = 311×46571

∴ So by taking common prime factors GCF of 144362 and 144367 is 1

Greatest Common Factor of 144362 and 144367 by matching factors method

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

Factors of 144367

List of positive integer factors of 144367 that divides 144367 without a remainder.

1,31,4657,144367

Greatest Common Factor

We found the factors and prime factorization of 144362 and 144367. The biggest common factor number is the GCF number.
So the greatest common factor 144362 and 144367 is 1.

Also check out the Least Common Multiple of 144362 and 144367

Properties of GCF 144362 and 144367

(i) The GCF of 144362 and 144367 is associative

GCF of 144362 and 144367 = GCF of 144367 and 144362

Related Greatest Common Factor of 144362

Related Greatest Common Factor of 144367

Frequently Asked Questions on GCF of 144362 and 144367

1. What is the GCF of 144362 and 144367?

Answer: GCF of 144362 and 144367 is 1.

2. 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.

3. What are the Factors of 144367?

Answer: Factors of 144367 are 1, 31, 4657, 144367. There are 4 integers that are factors of 144367. The greatest factor of 144367 is 144367.

4. How to Find the GCF of 144362 and 144367?

Answer:

Greatest Common Factor of 144362 and 144367 = 1

Step 1: Find the prime factorization of 144362

144362 = 2 x 19 x 29 x 131

Step 2: Find the prime factorization of 144367

144367 = 31 x 4657

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 144362 and 144367 is 1