Greatest Common Factor of 144344 and 144348

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 144344, 144348 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 144344 and 144348 is 4.

GCF(144344,144348) = 4

GCF of 144344 and 144348

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

GCF of:
and

Greatest Common Factor of 144344 and 144348

GCF of 144344 and 144348 is 4

Prime Factorization of 144344


2 144344
2 72172
2 36086
18043 18043
1

Prime factors of 144344 are 2,18043. Prime factorization of 144344 in exponential form is:

144344 = 23×180431

Prime Factorization of 144348


2 144348
2 72174
3 36087
23 12029
523 523
1

Prime factors of 144348 are 2,3,23,523. Prime factorization of 144348 in exponential form is:

144348 = 22×31×231×5231

∴ So by taking common prime factors GCF of 144344 and 144348 is 4

Greatest Common Factor of 144344 and 144348 by matching factors method

Factors of 144344

List of positive integer factors of 144344 that divides 144344 without a remainder.

1,2,4,8,18043,36086,72172,144344

Factors of 144348

List of positive integer factors of 144348 that divides 144348 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276,523,1046,1569,2092,3138,6276,12029,24058,36087,48116,72174,144348

Greatest Common Factor

We found the factors and prime factorization of 144344 and 144348. The biggest common factor number is the GCF number.
So the greatest common factor 144344 and 144348 is 4.

Also check out the Least Common Multiple of 144344 and 144348

Properties of GCF 144344 and 144348

(i) The GCF of 144344 and 144348 is associative

GCF of 144344 and 144348 = GCF of 144348 and 144344

Related Greatest Common Factor of 144344

Related Greatest Common Factor of 144348

Frequently Asked Questions on GCF of 144344 and 144348

1. What is the GCF of 144344 and 144348?

Answer: GCF of 144344 and 144348 is 4.

2. What are the Factors of 144344?

Answer: Factors of 144344 are 1, 2, 4, 8, 18043, 36086, 72172, 144344. There are 8 integers that are factors of 144344. The greatest factor of 144344 is 144344.

3. What are the Factors of 144348?

Answer: Factors of 144348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 523, 1046, 1569, 2092, 3138, 6276, 12029, 24058, 36087, 48116, 72174, 144348. There are 24 integers that are factors of 144348. The greatest factor of 144348 is 144348.

4. How to Find the GCF of 144344 and 144348?

Answer:

Greatest Common Factor of 144344 and 144348 = 4

Step 1: Find the prime factorization of 144344

144344 = 2 x 2 x 2 x 18043

Step 2: Find the prime factorization of 144348

144348 = 2 x 2 x 3 x 23 x 523

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 144344 and 144348 is 4