Greatest Common Factor of 146352 and 146356

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 146352, 146356 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146352 and 146356 is 4.

GCF(146352,146356) = 4

GCF of 146352 and 146356

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

GCF of:
and

Greatest Common Factor of 146352 and 146356

GCF of 146352 and 146356 is 4

Prime Factorization of 146352


2 146352
2 73176
2 36588
2 18294
3 9147
3049 3049
1

Prime factors of 146352 are 2,3,3049. Prime factorization of 146352 in exponential form is:

146352 = 24×31×30491

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

∴ So by taking common prime factors GCF of 146352 and 146356 is 4

Greatest Common Factor of 146352 and 146356 by matching factors method

Factors of 146352

List of positive integer factors of 146352 that divides 146352 without a remainder.

1,2,3,4,6,8,12,16,24,48,3049,6098,9147,12196,18294,24392,36588,48784,73176,146352

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

Greatest Common Factor

We found the factors and prime factorization of 146352 and 146356. The biggest common factor number is the GCF number.
So the greatest common factor 146352 and 146356 is 4.

Also check out the Least Common Multiple of 146352 and 146356

Properties of GCF 146352 and 146356

(i) The GCF of 146352 and 146356 is associative

GCF of 146352 and 146356 = GCF of 146356 and 146352

Related Greatest Common Factor of 146352

Related Greatest Common Factor of 146356

Frequently Asked Questions on GCF of 146352 and 146356

1. What is the GCF of 146352 and 146356?

Answer: GCF of 146352 and 146356 is 4.

2. What are the Factors of 146352?

Answer: Factors of 146352 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 3049, 6098, 9147, 12196, 18294, 24392, 36588, 48784, 73176, 146352. There are 20 integers that are factors of 146352. The greatest factor of 146352 is 146352.

3. 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.

4. How to Find the GCF of 146352 and 146356?

Answer:

Greatest Common Factor of 146352 and 146356 = 4

Step 1: Find the prime factorization of 146352

146352 = 2 x 2 x 2 x 2 x 3 x 3049

Step 2: Find the prime factorization of 146356

146356 = 2 x 2 x 7 x 5227

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 146352 and 146356 is 4