Greatest Common Factor of 309424 and 309430

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 309424, 309430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309424 and 309430 is 2.

GCF(309424,309430) = 2

GCF of 309424 and 309430

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

GCF of:
and

Greatest Common Factor of 309424 and 309430

GCF of 309424 and 309430 is 2

Prime Factorization of 309424


2 309424
2 154712
2 77356
2 38678
83 19339
233 233
1

Prime factors of 309424 are 2,83,233. Prime factorization of 309424 in exponential form is:

309424 = 24×831×2331

Prime Factorization of 309430


2 309430
5 154715
11 30943
29 2813
97 97
1

Prime factors of 309430 are 2,5,11,29,97. Prime factorization of 309430 in exponential form is:

309430 = 21×51×111×291×971

∴ So by taking common prime factors GCF of 309424 and 309430 is 2

Greatest Common Factor of 309424 and 309430 by matching factors method

Factors of 309424

List of positive integer factors of 309424 that divides 309424 without a remainder.

1,2,4,8,16,83,166,233,332,466,664,932,1328,1864,3728,19339,38678,77356,154712,309424

Factors of 309430

List of positive integer factors of 309430 that divides 309430 without a remainder.

1,2,5,10,11,22,29,55,58,97,110,145,194,290,319,485,638,970,1067,1595,2134,2813,3190,5335,5626,10670,14065,28130,30943,61886,154715,309430

Greatest Common Factor

We found the factors and prime factorization of 309424 and 309430. The biggest common factor number is the GCF number.
So the greatest common factor 309424 and 309430 is 2.

Also check out the Least Common Multiple of 309424 and 309430

Properties of GCF 309424 and 309430

(i) The GCF of 309424 and 309430 is associative

GCF of 309424 and 309430 = GCF of 309430 and 309424

Related Greatest Common Factor of 309424

Related Greatest Common Factor of 309430

Frequently Asked Questions on GCF of 309424 and 309430

1. What is the GCF of 309424 and 309430?

Answer: GCF of 309424 and 309430 is 2.

2. What are the Factors of 309424?

Answer: Factors of 309424 are 1, 2, 4, 8, 16, 83, 166, 233, 332, 466, 664, 932, 1328, 1864, 3728, 19339, 38678, 77356, 154712, 309424. There are 20 integers that are factors of 309424. The greatest factor of 309424 is 309424.

3. What are the Factors of 309430?

Answer: Factors of 309430 are 1, 2, 5, 10, 11, 22, 29, 55, 58, 97, 110, 145, 194, 290, 319, 485, 638, 970, 1067, 1595, 2134, 2813, 3190, 5335, 5626, 10670, 14065, 28130, 30943, 61886, 154715, 309430. There are 32 integers that are factors of 309430. The greatest factor of 309430 is 309430.

4. How to Find the GCF of 309424 and 309430?

Answer:

Greatest Common Factor of 309424 and 309430 = 2

Step 1: Find the prime factorization of 309424

309424 = 2 x 2 x 2 x 2 x 83 x 233

Step 2: Find the prime factorization of 309430

309430 = 2 x 5 x 11 x 29 x 97

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

GCF = 2

Step 4: Therefore, the greatest common factor of 309424 and 309430 is 2