Greatest Common Factor of 146370 and 146376

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 146370, 146376 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 146370 and 146376 is 6.

GCF(146370,146376) = 6

GCF of 146370 and 146376

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

GCF of:
and

Greatest Common Factor of 146370 and 146376

GCF of 146370 and 146376 is 6

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

Prime Factorization of 146376


2 146376
2 73188
2 36594
3 18297
3 6099
19 2033
107 107
1

Prime factors of 146376 are 2,3,19,107. Prime factorization of 146376 in exponential form is:

146376 = 23×32×191×1071

∴ So by taking common prime factors GCF of 146370 and 146376 is 6

Greatest Common Factor of 146370 and 146376 by matching factors method

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

Factors of 146376

List of positive integer factors of 146376 that divides 146376 without a remainder.

1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,107,114,152,171,214,228,321,342,428,456,642,684,856,963,1284,1368,1926,2033,2568,3852,4066,6099,7704,8132,12198,16264,18297,24396,36594,48792,73188,146376

Greatest Common Factor

We found the factors and prime factorization of 146370 and 146376. The biggest common factor number is the GCF number.
So the greatest common factor 146370 and 146376 is 6.

Also check out the Least Common Multiple of 146370 and 146376

Properties of GCF 146370 and 146376

(i) The GCF of 146370 and 146376 is associative

GCF of 146370 and 146376 = GCF of 146376 and 146370

Related Greatest Common Factor of 146370

Related Greatest Common Factor of 146376

Frequently Asked Questions on GCF of 146370 and 146376

1. What is the GCF of 146370 and 146376?

Answer: GCF of 146370 and 146376 is 6.

2. 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.

3. What are the Factors of 146376?

Answer: Factors of 146376 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 107, 114, 152, 171, 214, 228, 321, 342, 428, 456, 642, 684, 856, 963, 1284, 1368, 1926, 2033, 2568, 3852, 4066, 6099, 7704, 8132, 12198, 16264, 18297, 24396, 36594, 48792, 73188, 146376. There are 48 integers that are factors of 146376. The greatest factor of 146376 is 146376.

4. How to Find the GCF of 146370 and 146376?

Answer:

Greatest Common Factor of 146370 and 146376 = 6

Step 1: Find the prime factorization of 146370

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

Step 2: Find the prime factorization of 146376

146376 = 2 x 2 x 2 x 3 x 3 x 19 x 107

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 146370 and 146376 is 6