Greatest Common Factor of 144364 and 144371

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, 144371 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144364 and 144371 is 1.

GCF(144364,144371) = 1

GCF of 144364 and 144371

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

GCF of:
and

Greatest Common Factor of 144364 and 144371

GCF of 144364 and 144371 is 1

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 144371


23 144371
6277 6277
1

Prime factors of 144371 are 23,6277. Prime factorization of 144371 in exponential form is:

144371 = 231×62771

∴ So by taking common prime factors GCF of 144364 and 144371 is 1

Greatest Common Factor of 144364 and 144371 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 144371

List of positive integer factors of 144371 that divides 144371 without a remainder.

1,23,6277,144371

Greatest Common Factor

We found the factors and prime factorization of 144364 and 144371. The biggest common factor number is the GCF number.
So the greatest common factor 144364 and 144371 is 1.

Also check out the Least Common Multiple of 144364 and 144371

Properties of GCF 144364 and 144371

(i) The GCF of 144364 and 144371 is associative

GCF of 144364 and 144371 = GCF of 144371 and 144364

Related Greatest Common Factor of 144364

Related Greatest Common Factor of 144371

Frequently Asked Questions on GCF of 144364 and 144371

1. What is the GCF of 144364 and 144371?

Answer: GCF of 144364 and 144371 is 1.

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 144371?

Answer: Factors of 144371 are 1, 23, 6277, 144371. There are 4 integers that are factors of 144371. The greatest factor of 144371 is 144371.

4. How to Find the GCF of 144364 and 144371?

Answer:

Greatest Common Factor of 144364 and 144371 = 1

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 144371

144371 = 23 x 6277

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 144364 and 144371 is 1