Greatest Common Factor of 311424 and 311430

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 311424, 311430 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 311424 and 311430 is 6.

GCF(311424,311430) = 6

GCF of 311424 and 311430

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

GCF of:
and

Greatest Common Factor of 311424 and 311430

GCF of 311424 and 311430 is 6

Prime Factorization of 311424


2 311424
2 155712
2 77856
2 38928
2 19464
2 9732
2 4866
3 2433
811 811
1

Prime factors of 311424 are 2,3,811. Prime factorization of 311424 in exponential form is:

311424 = 27×31×8111

Prime Factorization of 311430


2 311430
3 155715
5 51905
7 10381
1483 1483
1

Prime factors of 311430 are 2,3,5,7,1483. Prime factorization of 311430 in exponential form is:

311430 = 21×31×51×71×14831

∴ So by taking common prime factors GCF of 311424 and 311430 is 6

Greatest Common Factor of 311424 and 311430 by matching factors method

Factors of 311424

List of positive integer factors of 311424 that divides 311424 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384,811,1622,2433,3244,4866,6488,9732,12976,19464,25952,38928,51904,77856,103808,155712,311424

Factors of 311430

List of positive integer factors of 311430 that divides 311430 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210,1483,2966,4449,7415,8898,10381,14830,20762,22245,31143,44490,51905,62286,103810,155715,311430

Greatest Common Factor

We found the factors and prime factorization of 311424 and 311430. The biggest common factor number is the GCF number.
So the greatest common factor 311424 and 311430 is 6.

Also check out the Least Common Multiple of 311424 and 311430

Properties of GCF 311424 and 311430

(i) The GCF of 311424 and 311430 is associative

GCF of 311424 and 311430 = GCF of 311430 and 311424

Related Greatest Common Factor of 311424

Related Greatest Common Factor of 311430

Frequently Asked Questions on GCF of 311424 and 311430

1. What is the GCF of 311424 and 311430?

Answer: GCF of 311424 and 311430 is 6.

2. What are the Factors of 311424?

Answer: Factors of 311424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384, 811, 1622, 2433, 3244, 4866, 6488, 9732, 12976, 19464, 25952, 38928, 51904, 77856, 103808, 155712, 311424. There are 32 integers that are factors of 311424. The greatest factor of 311424 is 311424.

3. What are the Factors of 311430?

Answer: Factors of 311430 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 1483, 2966, 4449, 7415, 8898, 10381, 14830, 20762, 22245, 31143, 44490, 51905, 62286, 103810, 155715, 311430. There are 32 integers that are factors of 311430. The greatest factor of 311430 is 311430.

4. How to Find the GCF of 311424 and 311430?

Answer:

Greatest Common Factor of 311424 and 311430 = 6

Step 1: Find the prime factorization of 311424

311424 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 811

Step 2: Find the prime factorization of 311430

311430 = 2 x 3 x 5 x 7 x 1483

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 311424 and 311430 is 6