Greatest Common Factor of 306424 and 306432

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 306424, 306432 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 306424 and 306432 is 8.

GCF(306424,306432) = 8

GCF of 306424 and 306432

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

GCF of:
and

Greatest Common Factor of 306424 and 306432

GCF of 306424 and 306432 is 8

Prime Factorization of 306424


2 306424
2 153212
2 76606
38303 38303
1

Prime factors of 306424 are 2,38303. Prime factorization of 306424 in exponential form is:

306424 = 23×383031

Prime Factorization of 306432


2 306432
2 153216
2 76608
2 38304
2 19152
2 9576
2 4788
2 2394
3 1197
3 399
7 133
19 19
1

Prime factors of 306432 are 2,3,7,19. Prime factorization of 306432 in exponential form is:

306432 = 28×32×71×191

∴ So by taking common prime factors GCF of 306424 and 306432 is 8

Greatest Common Factor of 306424 and 306432 by matching factors method

Factors of 306424

List of positive integer factors of 306424 that divides 306424 without a remainder.

1,2,4,8,38303,76606,153212,306424

Factors of 306432

List of positive integer factors of 306432 that divides 306432 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,19,21,24,28,32,36,38,42,48,56,57,63,64,72,76,84,96,112,114,126,128,133,144,152,168,171,192,224,228,252,256,266,288,304,336,342,384,399,448,456,504,532,576,608,672,684,768,798,896,912,1008,1064,1152,1197,1216,1344,1368,1596,1792,1824,2016,2128,2304,2394,2432,2688,2736,3192,3648,4032,4256,4788,4864,5376,5472,6384,7296,8064,8512,9576,10944,12768,14592,16128,17024,19152,21888,25536,34048,38304,43776,51072,76608,102144,153216,306432

Greatest Common Factor

We found the factors and prime factorization of 306424 and 306432. The biggest common factor number is the GCF number.
So the greatest common factor 306424 and 306432 is 8.

Also check out the Least Common Multiple of 306424 and 306432

Properties of GCF 306424 and 306432

(i) The GCF of 306424 and 306432 is associative

GCF of 306424 and 306432 = GCF of 306432 and 306424

Related Greatest Common Factor of 306424

Related Greatest Common Factor of 306432

Frequently Asked Questions on GCF of 306424 and 306432

1. What is the GCF of 306424 and 306432?

Answer: GCF of 306424 and 306432 is 8.

2. What are the Factors of 306424?

Answer: Factors of 306424 are 1, 2, 4, 8, 38303, 76606, 153212, 306424. There are 8 integers that are factors of 306424. The greatest factor of 306424 is 306424.

3. What are the Factors of 306432?

Answer: Factors of 306432 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 19, 21, 24, 28, 32, 36, 38, 42, 48, 56, 57, 63, 64, 72, 76, 84, 96, 112, 114, 126, 128, 133, 144, 152, 168, 171, 192, 224, 228, 252, 256, 266, 288, 304, 336, 342, 384, 399, 448, 456, 504, 532, 576, 608, 672, 684, 768, 798, 896, 912, 1008, 1064, 1152, 1197, 1216, 1344, 1368, 1596, 1792, 1824, 2016, 2128, 2304, 2394, 2432, 2688, 2736, 3192, 3648, 4032, 4256, 4788, 4864, 5376, 5472, 6384, 7296, 8064, 8512, 9576, 10944, 12768, 14592, 16128, 17024, 19152, 21888, 25536, 34048, 38304, 43776, 51072, 76608, 102144, 153216, 306432. There are 108 integers that are factors of 306432. The greatest factor of 306432 is 306432.

4. How to Find the GCF of 306424 and 306432?

Answer:

Greatest Common Factor of 306424 and 306432 = 8

Step 1: Find the prime factorization of 306424

306424 = 2 x 2 x 2 x 38303

Step 2: Find the prime factorization of 306432

306432 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 19

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 306424 and 306432 is 8