Greatest Common Factor of 146356 and 146363

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 146356, 146363 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146356 and 146363 is 7.

GCF(146356,146363) = 7

GCF of 146356 and 146363

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

GCF of:
and

Greatest Common Factor of 146356 and 146363

GCF of 146356 and 146363 is 7

Prime Factorization of 146356


2 146356
2 73178
7 36589
5227 5227
1

Prime factors of 146356 are 2,7,5227. Prime factorization of 146356 in exponential form is:

146356 = 22×71×52271

Prime Factorization of 146363


7 146363
7 20909
29 2987
103 103
1

Prime factors of 146363 are 7,29,103. Prime factorization of 146363 in exponential form is:

146363 = 72×291×1031

∴ So by taking common prime factors GCF of 146356 and 146363 is 7

Greatest Common Factor of 146356 and 146363 by matching factors method

Factors of 146356

List of positive integer factors of 146356 that divides 146356 without a remainder.

1,2,4,7,14,28,5227,10454,20908,36589,73178,146356

Factors of 146363

List of positive integer factors of 146363 that divides 146363 without a remainder.

1,7,29,49,103,203,721,1421,2987,5047,20909,146363

Greatest Common Factor

We found the factors and prime factorization of 146356 and 146363. The biggest common factor number is the GCF number.
So the greatest common factor 146356 and 146363 is 7.

Also check out the Least Common Multiple of 146356 and 146363

Properties of GCF 146356 and 146363

(i) The GCF of 146356 and 146363 is associative

GCF of 146356 and 146363 = GCF of 146363 and 146356

Related Greatest Common Factor of 146356

Related Greatest Common Factor of 146363

Frequently Asked Questions on GCF of 146356 and 146363

1. What is the GCF of 146356 and 146363?

Answer: GCF of 146356 and 146363 is 7.

2. What are the Factors of 146356?

Answer: Factors of 146356 are 1, 2, 4, 7, 14, 28, 5227, 10454, 20908, 36589, 73178, 146356. There are 12 integers that are factors of 146356. The greatest factor of 146356 is 146356.

3. What are the Factors of 146363?

Answer: Factors of 146363 are 1, 7, 29, 49, 103, 203, 721, 1421, 2987, 5047, 20909, 146363. There are 12 integers that are factors of 146363. The greatest factor of 146363 is 146363.

4. How to Find the GCF of 146356 and 146363?

Answer:

Greatest Common Factor of 146356 and 146363 = 7

Step 1: Find the prime factorization of 146356

146356 = 2 x 2 x 7 x 5227

Step 2: Find the prime factorization of 146363

146363 = 7 x 7 x 29 x 103

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

GCF = 7

Step 4: Therefore, the greatest common factor of 146356 and 146363 is 7