Greatest Common Factor of 8437 and 8445

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 8437, 8445 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8437 and 8445 is 1.

GCF(8437,8445) = 1

GCF of 8437 and 8445

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

GCF of:
and

Greatest Common Factor of 8437 and 8445

GCF of 8437 and 8445 is 1

Prime Factorization of 8437


11 8437
13 767
59 59
1

Prime factors of 8437 are 11,13,59. Prime factorization of 8437 in exponential form is:

8437 = 111×131×591

Prime Factorization of 8445


3 8445
5 2815
563 563
1

Prime factors of 8445 are 3,5,563. Prime factorization of 8445 in exponential form is:

8445 = 31×51×5631

∴ So by taking common prime factors GCF of 8437 and 8445 is 1

Greatest Common Factor of 8437 and 8445 by matching factors method

Factors of 8437

List of positive integer factors of 8437 that divides 8437 without a remainder.

1,11,13,59,143,649,767,8437

Factors of 8445

List of positive integer factors of 8445 that divides 8445 without a remainder.

1,3,5,15,563,1689,2815,8445

Greatest Common Factor

We found the factors and prime factorization of 8437 and 8445. The biggest common factor number is the GCF number.
So the greatest common factor 8437 and 8445 is 1.

Also check out the Least Common Multiple of 8437 and 8445

Properties of GCF 8437 and 8445

(i) The GCF of 8437 and 8445 is associative

GCF of 8437 and 8445 = GCF of 8445 and 8437

Frequently Asked Questions on GCF of 8437 and 8445

1. What is the GCF of 8437 and 8445?

Answer: GCF of 8437 and 8445 is 1.

2. What are the Factors of 8437?

Answer: Factors of 8437 are 1, 11, 13, 59, 143, 649, 767, 8437. There are 8 integers that are factors of 8437. The greatest factor of 8437 is 8437.

3. What are the Factors of 8445?

Answer: Factors of 8445 are 1, 3, 5, 15, 563, 1689, 2815, 8445. There are 8 integers that are factors of 8445. The greatest factor of 8445 is 8445.

4. How to Find the GCF of 8437 and 8445?

Answer:

Greatest Common Factor of 8437 and 8445 = 1

Step 1: Find the prime factorization of 8437

8437 = 11 x 13 x 59

Step 2: Find the prime factorization of 8445

8445 = 3 x 5 x 563

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 8437 and 8445 is 1