Greatest Common Factor of 10442 and 10445

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 10442, 10445 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10442 and 10445 is 1.

GCF(10442,10445) = 1

GCF of 10442 and 10445

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

GCF of:
and

Greatest Common Factor of 10442 and 10445

GCF of 10442 and 10445 is 1

Prime Factorization of 10442


2 10442
23 5221
227 227
1

Prime factors of 10442 are 2,23,227. Prime factorization of 10442 in exponential form is:

10442 = 21×231×2271

Prime Factorization of 10445


5 10445
2089 2089
1

Prime factors of 10445 are 5,2089. Prime factorization of 10445 in exponential form is:

10445 = 51×20891

∴ So by taking common prime factors GCF of 10442 and 10445 is 1

Greatest Common Factor of 10442 and 10445 by matching factors method

Factors of 10442

List of positive integer factors of 10442 that divides 10442 without a remainder.

1,2,23,46,227,454,5221,10442

Factors of 10445

List of positive integer factors of 10445 that divides 10445 without a remainder.

1,5,2089,10445

Greatest Common Factor

We found the factors and prime factorization of 10442 and 10445. The biggest common factor number is the GCF number.
So the greatest common factor 10442 and 10445 is 1.

Also check out the Least Common Multiple of 10442 and 10445

Properties of GCF 10442 and 10445

(i) The GCF of 10442 and 10445 is associative

GCF of 10442 and 10445 = GCF of 10445 and 10442

Frequently Asked Questions on GCF of 10442 and 10445

1. What is the GCF of 10442 and 10445?

Answer: GCF of 10442 and 10445 is 1.

2. What are the Factors of 10442?

Answer: Factors of 10442 are 1, 2, 23, 46, 227, 454, 5221, 10442. There are 8 integers that are factors of 10442. The greatest factor of 10442 is 10442.

3. What are the Factors of 10445?

Answer: Factors of 10445 are 1, 5, 2089, 10445. There are 4 integers that are factors of 10445. The greatest factor of 10445 is 10445.

4. How to Find the GCF of 10442 and 10445?

Answer:

Greatest Common Factor of 10442 and 10445 = 1

Step 1: Find the prime factorization of 10442

10442 = 2 x 23 x 227

Step 2: Find the prime factorization of 10445

10445 = 5 x 2089

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 10442 and 10445 is 1