What is the Greatest Common Factor of 8436 and 8445?

Greatest common factor (GCF) of 8436 and 8445 is 3.

GCF(8436,8445) = 3

We will now calculate the prime factors of 8436 and 8445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8436 and 8445.

How to find the GCF of 8436 and 8445?

We will first find the prime factorization of 8436 and 8445. After we will calculate the factors of 8436 and 8445 and find the biggest common factor number .

Step-1: Prime Factorization of 8436

Prime factors of 8436 are 2, 3, 19, 37. Prime factorization of 8436 in exponential form is:

8436 = 2² × 3¹ × 19¹ × 37¹

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 8436

List of positive integer factors of 8436 that divides 8436 without a remainder.

1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218

Step-4: Factors of 8445

List of positive integer factors of 8445 that divides 8436 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8436 and 8445. The biggest common factor number is the GCF number.
So the greatest common factor 8436 and 8445 is 3.

Also check out the Least Common Multiple of 8436 and 8445