Greatest Common Factor of 311420 and 311424

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 311420, 311424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 311420 and 311424 is 4.

GCF(311420,311424) = 4

GCF of 311420 and 311424

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

GCF of:
and

Greatest Common Factor of 311420 and 311424

GCF of 311420 and 311424 is 4

Prime Factorization of 311420


2 311420
2 155710
5 77855
23 15571
677 677
1

Prime factors of 311420 are 2,5,23,677. Prime factorization of 311420 in exponential form is:

311420 = 22×51×231×6771

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

∴ So by taking common prime factors GCF of 311420 and 311424 is 4

Greatest Common Factor of 311420 and 311424 by matching factors method

Factors of 311420

List of positive integer factors of 311420 that divides 311420 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460,677,1354,2708,3385,6770,13540,15571,31142,62284,77855,155710,311420

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

Greatest Common Factor

We found the factors and prime factorization of 311420 and 311424. The biggest common factor number is the GCF number.
So the greatest common factor 311420 and 311424 is 4.

Also check out the Least Common Multiple of 311420 and 311424

Properties of GCF 311420 and 311424

(i) The GCF of 311420 and 311424 is associative

GCF of 311420 and 311424 = GCF of 311424 and 311420

Related Greatest Common Factor of 311420

Related Greatest Common Factor of 311424

Frequently Asked Questions on GCF of 311420 and 311424

1. What is the GCF of 311420 and 311424?

Answer: GCF of 311420 and 311424 is 4.

2. What are the Factors of 311420?

Answer: Factors of 311420 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460, 677, 1354, 2708, 3385, 6770, 13540, 15571, 31142, 62284, 77855, 155710, 311420. There are 24 integers that are factors of 311420. The greatest factor of 311420 is 311420.

3. 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.

4. How to Find the GCF of 311420 and 311424?

Answer:

Greatest Common Factor of 311420 and 311424 = 4

Step 1: Find the prime factorization of 311420

311420 = 2 x 2 x 5 x 23 x 677

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 311420 and 311424 is 4