Greatest Common Factor of 146348 and 146352

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 146348, 146352 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146348 and 146352 is 4.

GCF(146348,146352) = 4

GCF of 146348 and 146352

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

GCF of:
and

Greatest Common Factor of 146348 and 146352

GCF of 146348 and 146352 is 4

Prime Factorization of 146348


2 146348
2 73174
36587 36587
1

Prime factors of 146348 are 2,36587. Prime factorization of 146348 in exponential form is:

146348 = 22×365871

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

∴ So by taking common prime factors GCF of 146348 and 146352 is 4

Greatest Common Factor of 146348 and 146352 by matching factors method

Factors of 146348

List of positive integer factors of 146348 that divides 146348 without a remainder.

1,2,4,36587,73174,146348

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

Greatest Common Factor

We found the factors and prime factorization of 146348 and 146352. The biggest common factor number is the GCF number.
So the greatest common factor 146348 and 146352 is 4.

Also check out the Least Common Multiple of 146348 and 146352

Properties of GCF 146348 and 146352

(i) The GCF of 146348 and 146352 is associative

GCF of 146348 and 146352 = GCF of 146352 and 146348

Related Greatest Common Factor of 146348

Related Greatest Common Factor of 146352

Frequently Asked Questions on GCF of 146348 and 146352

1. What is the GCF of 146348 and 146352?

Answer: GCF of 146348 and 146352 is 4.

2. What are the Factors of 146348?

Answer: Factors of 146348 are 1, 2, 4, 36587, 73174, 146348. There are 6 integers that are factors of 146348. The greatest factor of 146348 is 146348.

3. 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.

4. How to Find the GCF of 146348 and 146352?

Answer:

Greatest Common Factor of 146348 and 146352 = 4

Step 1: Find the prime factorization of 146348

146348 = 2 x 2 x 36587

Step 2: Find the prime factorization of 146352

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

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 146348 and 146352 is 4