Greatest Common Factor of 309430 and 309432

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 309430, 309432 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309430 and 309432 is 2.

GCF(309430,309432) = 2

GCF of 309430 and 309432

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

GCF of:
and

Greatest Common Factor of 309430 and 309432

GCF of 309430 and 309432 is 2

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

Prime Factorization of 309432


2 309432
2 154716
2 77358
3 38679
12893 12893
1

Prime factors of 309432 are 2,3,12893. Prime factorization of 309432 in exponential form is:

309432 = 23×31×128931

∴ So by taking common prime factors GCF of 309430 and 309432 is 2

Greatest Common Factor of 309430 and 309432 by matching factors method

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

Factors of 309432

List of positive integer factors of 309432 that divides 309432 without a remainder.

1,2,3,4,6,8,12,24,12893,25786,38679,51572,77358,103144,154716,309432

Greatest Common Factor

We found the factors and prime factorization of 309430 and 309432. The biggest common factor number is the GCF number.
So the greatest common factor 309430 and 309432 is 2.

Also check out the Least Common Multiple of 309430 and 309432

Properties of GCF 309430 and 309432

(i) The GCF of 309430 and 309432 is associative

GCF of 309430 and 309432 = GCF of 309432 and 309430

Related Greatest Common Factor of 309430

Related Greatest Common Factor of 309432

Frequently Asked Questions on GCF of 309430 and 309432

1. What is the GCF of 309430 and 309432?

Answer: GCF of 309430 and 309432 is 2.

2. 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.

3. What are the Factors of 309432?

Answer: Factors of 309432 are 1, 2, 3, 4, 6, 8, 12, 24, 12893, 25786, 38679, 51572, 77358, 103144, 154716, 309432. There are 16 integers that are factors of 309432. The greatest factor of 309432 is 309432.

4. How to Find the GCF of 309430 and 309432?

Answer:

Greatest Common Factor of 309430 and 309432 = 2

Step 1: Find the prime factorization of 309430

309430 = 2 x 5 x 11 x 29 x 97

Step 2: Find the prime factorization of 309432

309432 = 2 x 2 x 2 x 3 x 12893

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 309430 and 309432 is 2