Greatest Common Factor of 311420 and 311426

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, 311426 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 311420 and 311426 is 2.

GCF(311420,311426) = 2

GCF of 311420 and 311426

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

GCF of:
and

Greatest Common Factor of 311420 and 311426

GCF of 311420 and 311426 is 2

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 311426


2 311426
31 155713
5023 5023
1

Prime factors of 311426 are 2,31,5023. Prime factorization of 311426 in exponential form is:

311426 = 21×311×50231

∴ So by taking common prime factors GCF of 311420 and 311426 is 2

Greatest Common Factor of 311420 and 311426 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 311426

List of positive integer factors of 311426 that divides 311426 without a remainder.

1,2,31,62,5023,10046,155713,311426

Greatest Common Factor

We found the factors and prime factorization of 311420 and 311426. The biggest common factor number is the GCF number.
So the greatest common factor 311420 and 311426 is 2.

Also check out the Least Common Multiple of 311420 and 311426

Properties of GCF 311420 and 311426

(i) The GCF of 311420 and 311426 is associative

GCF of 311420 and 311426 = GCF of 311426 and 311420

Frequently Asked Questions on GCF of 311420 and 311426

1. What is the GCF of 311420 and 311426?

Answer: GCF of 311420 and 311426 is 2.

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 311426?

Answer: Factors of 311426 are 1, 2, 31, 62, 5023, 10046, 155713, 311426. There are 8 integers that are factors of 311426. The greatest factor of 311426 is 311426.

4. How to Find the GCF of 311420 and 311426?

Answer:

Greatest Common Factor of 311420 and 311426 = 2

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 311426

311426 = 2 x 31 x 5023

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 311420 and 311426 is 2