Greatest Common Factor of 146379 and 146385

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 146379, 146385 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146379 and 146385 is 3.

GCF(146379,146385) = 3

GCF of 146379 and 146385

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

GCF of:
and

Greatest Common Factor of 146379 and 146385

GCF of 146379 and 146385 is 3

Prime Factorization of 146379


3 146379
59 48793
827 827
1

Prime factors of 146379 are 3,59,827. Prime factorization of 146379 in exponential form is:

146379 = 31×591×8271

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

∴ So by taking common prime factors GCF of 146379 and 146385 is 3

Greatest Common Factor of 146379 and 146385 by matching factors method

Factors of 146379

List of positive integer factors of 146379 that divides 146379 without a remainder.

1,3,59,177,827,2481,48793,146379

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

Greatest Common Factor

We found the factors and prime factorization of 146379 and 146385. The biggest common factor number is the GCF number.
So the greatest common factor 146379 and 146385 is 3.

Also check out the Least Common Multiple of 146379 and 146385

Properties of GCF 146379 and 146385

(i) The GCF of 146379 and 146385 is associative

GCF of 146379 and 146385 = GCF of 146385 and 146379

Related Greatest Common Factor of 146379

Related Greatest Common Factor of 146385

Frequently Asked Questions on GCF of 146379 and 146385

1. What is the GCF of 146379 and 146385?

Answer: GCF of 146379 and 146385 is 3.

2. What are the Factors of 146379?

Answer: Factors of 146379 are 1, 3, 59, 177, 827, 2481, 48793, 146379. There are 8 integers that are factors of 146379. The greatest factor of 146379 is 146379.

3. 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.

4. How to Find the GCF of 146379 and 146385?

Answer:

Greatest Common Factor of 146379 and 146385 = 3

Step 1: Find the prime factorization of 146379

146379 = 3 x 59 x 827

Step 2: Find the prime factorization of 146385

146385 = 3 x 3 x 5 x 3253

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

GCF = 3

Step 4: Therefore, the greatest common factor of 146379 and 146385 is 3