Greatest Common Factor of 146360 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 146360, 146364 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146360 and 146364 is 4.

GCF(146360,146364) = 4

GCF of 146360 and 146364

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

GCF of:
and

Greatest Common Factor of 146360 and 146364

GCF of 146360 and 146364 is 4

Prime Factorization of 146360


2 146360
2 73180
2 36590
5 18295
3659 3659
1

Prime factors of 146360 are 2,5,3659. Prime factorization of 146360 in exponential form is:

146360 = 23×51×36591

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 146360 and 146364 is 4

Greatest Common Factor of 146360 and 146364 by matching factors method

Factors of 146360

List of positive integer factors of 146360 that divides 146360 without a remainder.

1,2,4,5,8,10,20,40,3659,7318,14636,18295,29272,36590,73180,146360

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 146360 and 146364. The biggest common factor number is the GCF number.
So the greatest common factor 146360 and 146364 is 4.

Also check out the Least Common Multiple of 146360 and 146364

Properties of GCF 146360 and 146364

(i) The GCF of 146360 and 146364 is associative

GCF of 146360 and 146364 = GCF of 146364 and 146360

Related Greatest Common Factor of 146360

Related Greatest Common Factor of 146364

Frequently Asked Questions on GCF of 146360 and 146364

1. What is the GCF of 146360 and 146364?

Answer: GCF of 146360 and 146364 is 4.

2. What are the Factors of 146360?

Answer: Factors of 146360 are 1, 2, 4, 5, 8, 10, 20, 40, 3659, 7318, 14636, 18295, 29272, 36590, 73180, 146360. There are 16 integers that are factors of 146360. The greatest factor of 146360 is 146360.

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 146360 and 146364?

Answer:

Greatest Common Factor of 146360 and 146364 = 4

Step 1: Find the prime factorization of 146360

146360 = 2 x 2 x 2 x 5 x 3659

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 146360 and 146364 is 4