Greatest Common Factor of 10444 and 10450

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 10444, 10450 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10444 and 10450 is 2.

GCF(10444,10450) = 2

GCF of 10444 and 10450

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

GCF of:
and

Greatest Common Factor of 10444 and 10450

GCF of 10444 and 10450 is 2

Prime Factorization of 10444


2 10444
2 5222
7 2611
373 373
1

Prime factors of 10444 are 2,7,373. Prime factorization of 10444 in exponential form is:

10444 = 22×71×3731

Prime Factorization of 10450


2 10450
5 5225
5 1045
11 209
19 19
1

Prime factors of 10450 are 2,5,11,19. Prime factorization of 10450 in exponential form is:

10450 = 21×52×111×191

∴ So by taking common prime factors GCF of 10444 and 10450 is 2

Greatest Common Factor of 10444 and 10450 by matching factors method

Factors of 10444

List of positive integer factors of 10444 that divides 10444 without a remainder.

1,2,4,7,14,28,373,746,1492,2611,5222,10444

Factors of 10450

List of positive integer factors of 10450 that divides 10450 without a remainder.

1,2,5,10,11,19,22,25,38,50,55,95,110,190,209,275,418,475,550,950,1045,2090,5225,10450

Greatest Common Factor

We found the factors and prime factorization of 10444 and 10450. The biggest common factor number is the GCF number.
So the greatest common factor 10444 and 10450 is 2.

Also check out the Least Common Multiple of 10444 and 10450

Properties of GCF 10444 and 10450

(i) The GCF of 10444 and 10450 is associative

GCF of 10444 and 10450 = GCF of 10450 and 10444

Related Greatest Common Factor of 10444

Related Greatest Common Factor of 10450

Frequently Asked Questions on GCF of 10444 and 10450

1. What is the GCF of 10444 and 10450?

Answer: GCF of 10444 and 10450 is 2.

2. What are the Factors of 10444?

Answer: Factors of 10444 are 1, 2, 4, 7, 14, 28, 373, 746, 1492, 2611, 5222, 10444. There are 12 integers that are factors of 10444. The greatest factor of 10444 is 10444.

3. What are the Factors of 10450?

Answer: Factors of 10450 are 1, 2, 5, 10, 11, 19, 22, 25, 38, 50, 55, 95, 110, 190, 209, 275, 418, 475, 550, 950, 1045, 2090, 5225, 10450. There are 24 integers that are factors of 10450. The greatest factor of 10450 is 10450.

4. How to Find the GCF of 10444 and 10450?

Answer:

Greatest Common Factor of 10444 and 10450 = 2

Step 1: Find the prime factorization of 10444

10444 = 2 x 2 x 7 x 373

Step 2: Find the prime factorization of 10450

10450 = 2 x 5 x 5 x 11 x 19

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 10444 and 10450 is 2