Greatest Common Factor of 146356 and 146364

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, 146364 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146356 and 146364 is 4.

GCF(146356,146364) = 4

GCF of 146356 and 146364

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

GCF of:
and

Greatest Common Factor of 146356 and 146364

GCF of 146356 and 146364 is 4

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 146364


2 146364
2 73182
3 36591
12197 12197
1

Prime factors of 146364 are 2,3,12197. Prime factorization of 146364 in exponential form is:

146364 = 22×31×121971

∴ So by taking common prime factors GCF of 146356 and 146364 is 4

Greatest Common Factor of 146356 and 146364 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 146364

List of positive integer factors of 146364 that divides 146364 without a remainder.

1,2,3,4,6,12,12197,24394,36591,48788,73182,146364

Greatest Common Factor

We found the factors and prime factorization of 146356 and 146364. The biggest common factor number is the GCF number.
So the greatest common factor 146356 and 146364 is 4.

Also check out the Least Common Multiple of 146356 and 146364

Properties of GCF 146356 and 146364

(i) The GCF of 146356 and 146364 is associative

GCF of 146356 and 146364 = GCF of 146364 and 146356

Related Greatest Common Factor of 146356

Related Greatest Common Factor of 146364

Frequently Asked Questions on GCF of 146356 and 146364

1. What is the GCF of 146356 and 146364?

Answer: GCF of 146356 and 146364 is 4.

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 146364?

Answer: Factors of 146364 are 1, 2, 3, 4, 6, 12, 12197, 24394, 36591, 48788, 73182, 146364. There are 12 integers that are factors of 146364. The greatest factor of 146364 is 146364.

4. How to Find the GCF of 146356 and 146364?

Answer:

Greatest Common Factor of 146356 and 146364 = 4

Step 1: Find the prime factorization of 146356

146356 = 2 x 2 x 7 x 5227

Step 2: Find the prime factorization of 146364

146364 = 2 x 2 x 3 x 12197

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 146356 and 146364 is 4