Greatest Common Factor of 10342 and 10350

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 10342, 10350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10342 and 10350 is 2.

GCF(10342,10350) = 2

GCF of 10342 and 10350

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

GCF of:
and

Greatest Common Factor of 10342 and 10350

GCF of 10342 and 10350 is 2

Prime Factorization of 10342


2 10342
5171 5171
1

Prime factors of 10342 are 2,5171. Prime factorization of 10342 in exponential form is:

10342 = 21×51711

Prime Factorization of 10350


2 10350
3 5175
3 1725
5 575
5 115
23 23
1

Prime factors of 10350 are 2,3,5,23. Prime factorization of 10350 in exponential form is:

10350 = 21×32×52×231

∴ So by taking common prime factors GCF of 10342 and 10350 is 2

Greatest Common Factor of 10342 and 10350 by matching factors method

Factors of 10342

List of positive integer factors of 10342 that divides 10342 without a remainder.

1,2,5171,10342

Factors of 10350

List of positive integer factors of 10350 that divides 10350 without a remainder.

1,2,3,5,6,9,10,15,18,23,25,30,45,46,50,69,75,90,115,138,150,207,225,230,345,414,450,575,690,1035,1150,1725,2070,3450,5175,10350

Greatest Common Factor

We found the factors and prime factorization of 10342 and 10350. The biggest common factor number is the GCF number.
So the greatest common factor 10342 and 10350 is 2.

Also check out the Least Common Multiple of 10342 and 10350

Properties of GCF 10342 and 10350

(i) The GCF of 10342 and 10350 is associative

GCF of 10342 and 10350 = GCF of 10350 and 10342

Related Greatest Common Factor of 10342

Related Greatest Common Factor of 10350

Frequently Asked Questions on GCF of 10342 and 10350

1. What is the GCF of 10342 and 10350?

Answer: GCF of 10342 and 10350 is 2.

2. What are the Factors of 10342?

Answer: Factors of 10342 are 1, 2, 5171, 10342. There are 4 integers that are factors of 10342. The greatest factor of 10342 is 10342.

3. What are the Factors of 10350?

Answer: Factors of 10350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 30, 45, 46, 50, 69, 75, 90, 115, 138, 150, 207, 225, 230, 345, 414, 450, 575, 690, 1035, 1150, 1725, 2070, 3450, 5175, 10350. There are 36 integers that are factors of 10350. The greatest factor of 10350 is 10350.

4. How to Find the GCF of 10342 and 10350?

Answer:

Greatest Common Factor of 10342 and 10350 = 2

Step 1: Find the prime factorization of 10342

10342 = 2 x 5171

Step 2: Find the prime factorization of 10350

10350 = 2 x 3 x 3 x 5 x 5 x 23

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 10342 and 10350 is 2