What is the Greatest Common Factor of 8428 and 8445?

Greatest common factor (GCF) of 8428 and 8445 is 1.

GCF(8428,8445) = 1

We will now calculate the prime factors of 8428 and 8445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8428 and 8445.

How to find the GCF of 8428 and 8445?

We will first find the prime factorization of 8428 and 8445. After we will calculate the factors of 8428 and 8445 and find the biggest common factor number .

Step-1: Prime Factorization of 8428

Prime factors of 8428 are 2, 7, 43. Prime factorization of 8428 in exponential form is:

8428 = 2² × 7² × 43¹

Step-2: Prime Factorization of 8445

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

8445 = 3¹ × 5¹ × 563¹

Step-3: Factors of 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214

Step-4: Factors of 8445

List of positive integer factors of 8445 that divides 8428 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8428 and 8445. The biggest common factor number is the GCF number.
So the greatest common factor 8428 and 8445 is 1.

Also check out the Least Common Multiple of 8428 and 8445