Greatest Common Factor of 146364 and 146370

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 146364, 146370 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146364 and 146370 is 6.

GCF(146364,146370) = 6

GCF of 146364 and 146370

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

GCF of:
and

Greatest Common Factor of 146364 and 146370

GCF of 146364 and 146370 is 6

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

Prime Factorization of 146370


2 146370
3 73185
5 24395
7 4879
17 697
41 41
1

Prime factors of 146370 are 2,3,5,7,17,41. Prime factorization of 146370 in exponential form is:

146370 = 21×31×51×71×171×411

∴ So by taking common prime factors GCF of 146364 and 146370 is 6

Greatest Common Factor of 146364 and 146370 by matching factors method

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

Factors of 146370

List of positive integer factors of 146370 that divides 146370 without a remainder.

1,2,3,5,6,7,10,14,15,17,21,30,34,35,41,42,51,70,82,85,102,105,119,123,170,205,210,238,246,255,287,357,410,510,574,595,615,697,714,861,1190,1230,1394,1435,1722,1785,2091,2870,3485,3570,4182,4305,4879,6970,8610,9758,10455,14637,20910,24395,29274,48790,73185,146370

Greatest Common Factor

We found the factors and prime factorization of 146364 and 146370. The biggest common factor number is the GCF number.
So the greatest common factor 146364 and 146370 is 6.

Also check out the Least Common Multiple of 146364 and 146370

Properties of GCF 146364 and 146370

(i) The GCF of 146364 and 146370 is associative

GCF of 146364 and 146370 = GCF of 146370 and 146364

Related Greatest Common Factor of 146364

Related Greatest Common Factor of 146370

Frequently Asked Questions on GCF of 146364 and 146370

1. What is the GCF of 146364 and 146370?

Answer: GCF of 146364 and 146370 is 6.

2. 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.

3. What are the Factors of 146370?

Answer: Factors of 146370 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 41, 42, 51, 70, 82, 85, 102, 105, 119, 123, 170, 205, 210, 238, 246, 255, 287, 357, 410, 510, 574, 595, 615, 697, 714, 861, 1190, 1230, 1394, 1435, 1722, 1785, 2091, 2870, 3485, 3570, 4182, 4305, 4879, 6970, 8610, 9758, 10455, 14637, 20910, 24395, 29274, 48790, 73185, 146370. There are 64 integers that are factors of 146370. The greatest factor of 146370 is 146370.

4. How to Find the GCF of 146364 and 146370?

Answer:

Greatest Common Factor of 146364 and 146370 = 6

Step 1: Find the prime factorization of 146364

146364 = 2 x 2 x 3 x 12197

Step 2: Find the prime factorization of 146370

146370 = 2 x 3 x 5 x 7 x 17 x 41

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 146364 and 146370 is 6