Greatest Common Factor of 310434 and 310438

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 310434, 310438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 310434 and 310438 is 2.

GCF(310434,310438) = 2

GCF of 310434 and 310438

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

GCF of:
and

Greatest Common Factor of 310434 and 310438

GCF of 310434 and 310438 is 2

Prime Factorization of 310434


2 310434
3 155217
31 51739
1669 1669
1

Prime factors of 310434 are 2,3,31,1669. Prime factorization of 310434 in exponential form is:

310434 = 21×31×311×16691

Prime Factorization of 310438


2 310438
155219 155219
1

Prime factors of 310438 are 2,155219. Prime factorization of 310438 in exponential form is:

310438 = 21×1552191

∴ So by taking common prime factors GCF of 310434 and 310438 is 2

Greatest Common Factor of 310434 and 310438 by matching factors method

Factors of 310434

List of positive integer factors of 310434 that divides 310434 without a remainder.

1,2,3,6,31,62,93,186,1669,3338,5007,10014,51739,103478,155217,310434

Factors of 310438

List of positive integer factors of 310438 that divides 310438 without a remainder.

1,2,155219,310438

Greatest Common Factor

We found the factors and prime factorization of 310434 and 310438. The biggest common factor number is the GCF number.
So the greatest common factor 310434 and 310438 is 2.

Also check out the Least Common Multiple of 310434 and 310438

Properties of GCF 310434 and 310438

(i) The GCF of 310434 and 310438 is associative

GCF of 310434 and 310438 = GCF of 310438 and 310434

Frequently Asked Questions on GCF of 310434 and 310438

1. What is the GCF of 310434 and 310438?

Answer: GCF of 310434 and 310438 is 2.

2. What are the Factors of 310434?

Answer: Factors of 310434 are 1, 2, 3, 6, 31, 62, 93, 186, 1669, 3338, 5007, 10014, 51739, 103478, 155217, 310434. There are 16 integers that are factors of 310434. The greatest factor of 310434 is 310434.

3. What are the Factors of 310438?

Answer: Factors of 310438 are 1, 2, 155219, 310438. There are 4 integers that are factors of 310438. The greatest factor of 310438 is 310438.

4. How to Find the GCF of 310434 and 310438?

Answer:

Greatest Common Factor of 310434 and 310438 = 2

Step 1: Find the prime factorization of 310434

310434 = 2 x 3 x 31 x 1669

Step 2: Find the prime factorization of 310438

310438 = 2 x 155219

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 310434 and 310438 is 2