Greatest Common Factor of 311416 and 311420

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 311416, 311420 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 311416 and 311420 is 4.

GCF(311416,311420) = 4

GCF of 311416 and 311420

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

GCF of:
and

Greatest Common Factor of 311416 and 311420

GCF of 311416 and 311420 is 4

Prime Factorization of 311416


2 311416
2 155708
2 77854
7 38927
67 5561
83 83
1

Prime factors of 311416 are 2,7,67,83. Prime factorization of 311416 in exponential form is:

311416 = 23×71×671×831

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

∴ So by taking common prime factors GCF of 311416 and 311420 is 4

Greatest Common Factor of 311416 and 311420 by matching factors method

Factors of 311416

List of positive integer factors of 311416 that divides 311416 without a remainder.

1,2,4,7,8,14,28,56,67,83,134,166,268,332,469,536,581,664,938,1162,1876,2324,3752,4648,5561,11122,22244,38927,44488,77854,155708,311416

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

Greatest Common Factor

We found the factors and prime factorization of 311416 and 311420. The biggest common factor number is the GCF number.
So the greatest common factor 311416 and 311420 is 4.

Also check out the Least Common Multiple of 311416 and 311420

Properties of GCF 311416 and 311420

(i) The GCF of 311416 and 311420 is associative

GCF of 311416 and 311420 = GCF of 311420 and 311416

Related Greatest Common Factor of 311416

Related Greatest Common Factor of 311420

Frequently Asked Questions on GCF of 311416 and 311420

1. What is the GCF of 311416 and 311420?

Answer: GCF of 311416 and 311420 is 4.

2. What are the Factors of 311416?

Answer: Factors of 311416 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 83, 134, 166, 268, 332, 469, 536, 581, 664, 938, 1162, 1876, 2324, 3752, 4648, 5561, 11122, 22244, 38927, 44488, 77854, 155708, 311416. There are 32 integers that are factors of 311416. The greatest factor of 311416 is 311416.

3. 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.

4. How to Find the GCF of 311416 and 311420?

Answer:

Greatest Common Factor of 311416 and 311420 = 4

Step 1: Find the prime factorization of 311416

311416 = 2 x 2 x 2 x 7 x 67 x 83

Step 2: Find the prime factorization of 311420

311420 = 2 x 2 x 5 x 23 x 677

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 311416 and 311420 is 4