Greatest Common Factor of 313438 and 313442

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 313438, 313442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 313438 and 313442 is 2.

GCF(313438,313442) = 2

GCF of 313438 and 313442

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

GCF of:
and

Greatest Common Factor of 313438 and 313442

GCF of 313438 and 313442 is 2

Prime Factorization of 313438


2 313438
156719 156719
1

Prime factors of 313438 are 2,156719. Prime factorization of 313438 in exponential form is:

313438 = 21×1567191

Prime Factorization of 313442


2 313442
53 156721
2957 2957
1

Prime factors of 313442 are 2,53,2957. Prime factorization of 313442 in exponential form is:

313442 = 21×531×29571

∴ So by taking common prime factors GCF of 313438 and 313442 is 2

Greatest Common Factor of 313438 and 313442 by matching factors method

Factors of 313438

List of positive integer factors of 313438 that divides 313438 without a remainder.

1,2,156719,313438

Factors of 313442

List of positive integer factors of 313442 that divides 313442 without a remainder.

1,2,53,106,2957,5914,156721,313442

Greatest Common Factor

We found the factors and prime factorization of 313438 and 313442. The biggest common factor number is the GCF number.
So the greatest common factor 313438 and 313442 is 2.

Also check out the Least Common Multiple of 313438 and 313442

Properties of GCF 313438 and 313442

(i) The GCF of 313438 and 313442 is associative

GCF of 313438 and 313442 = GCF of 313442 and 313438

Related Greatest Common Factor of 313438

Related Greatest Common Factor of 313442

Frequently Asked Questions on GCF of 313438 and 313442

1. What is the GCF of 313438 and 313442?

Answer: GCF of 313438 and 313442 is 2.

2. What are the Factors of 313438?

Answer: Factors of 313438 are 1, 2, 156719, 313438. There are 4 integers that are factors of 313438. The greatest factor of 313438 is 313438.

3. What are the Factors of 313442?

Answer: Factors of 313442 are 1, 2, 53, 106, 2957, 5914, 156721, 313442. There are 8 integers that are factors of 313442. The greatest factor of 313442 is 313442.

4. How to Find the GCF of 313438 and 313442?

Answer:

Greatest Common Factor of 313438 and 313442 = 2

Step 1: Find the prime factorization of 313438

313438 = 2 x 156719

Step 2: Find the prime factorization of 313442

313442 = 2 x 53 x 2957

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 313438 and 313442 is 2