Greatest Common Factor of 146385 and 146390

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 146385, 146390 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146385 and 146390 is 5.

GCF(146385,146390) = 5

GCF of 146385 and 146390

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

GCF of:
and

Greatest Common Factor of 146385 and 146390

GCF of 146385 and 146390 is 5

Prime Factorization of 146385


3 146385
3 48795
5 16265
3253 3253
1

Prime factors of 146385 are 3,5,3253. Prime factorization of 146385 in exponential form is:

146385 = 32×51×32531

Prime Factorization of 146390


2 146390
5 73195
14639 14639
1

Prime factors of 146390 are 2,5,14639. Prime factorization of 146390 in exponential form is:

146390 = 21×51×146391

∴ So by taking common prime factors GCF of 146385 and 146390 is 5

Greatest Common Factor of 146385 and 146390 by matching factors method

Factors of 146385

List of positive integer factors of 146385 that divides 146385 without a remainder.

1,3,5,9,15,45,3253,9759,16265,29277,48795,146385

Factors of 146390

List of positive integer factors of 146390 that divides 146390 without a remainder.

1,2,5,10,14639,29278,73195,146390

Greatest Common Factor

We found the factors and prime factorization of 146385 and 146390. The biggest common factor number is the GCF number.
So the greatest common factor 146385 and 146390 is 5.

Also check out the Least Common Multiple of 146385 and 146390

Properties of GCF 146385 and 146390

(i) The GCF of 146385 and 146390 is associative

GCF of 146385 and 146390 = GCF of 146390 and 146385

Related Greatest Common Factor of 146385

Related Greatest Common Factor of 146390

Frequently Asked Questions on GCF of 146385 and 146390

1. What is the GCF of 146385 and 146390?

Answer: GCF of 146385 and 146390 is 5.

2. What are the Factors of 146385?

Answer: Factors of 146385 are 1, 3, 5, 9, 15, 45, 3253, 9759, 16265, 29277, 48795, 146385. There are 12 integers that are factors of 146385. The greatest factor of 146385 is 146385.

3. What are the Factors of 146390?

Answer: Factors of 146390 are 1, 2, 5, 10, 14639, 29278, 73195, 146390. There are 8 integers that are factors of 146390. The greatest factor of 146390 is 146390.

4. How to Find the GCF of 146385 and 146390?

Answer:

Greatest Common Factor of 146385 and 146390 = 5

Step 1: Find the prime factorization of 146385

146385 = 3 x 3 x 5 x 3253

Step 2: Find the prime factorization of 146390

146390 = 2 x 5 x 14639

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

GCF = 5

Step 4: Therefore, the greatest common factor of 146385 and 146390 is 5