What is the Greatest Common Factor of 8445 and 8460?

Greatest common factor (GCF) of 8445 and 8460 is 15.

GCF(8445,8460) = 15

We will now calculate the prime factors of 8445 and 8460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8445 and 8460.

How to find the GCF of 8445 and 8460?

We will first find the prime factorization of 8445 and 8460. After we will calculate the factors of 8445 and 8460 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8460

Prime factors of 8460 are 2, 3, 5, 47. Prime factorization of 8460 in exponential form is:

8460 = 2² × 3² × 5¹ × 47¹

Step-3: Factors of 8445

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

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

Step-4: Factors of 8460

List of positive integer factors of 8460 that divides 8445 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8445 and 8460. The biggest common factor number is the GCF number.
So the greatest common factor 8445 and 8460 is 15.

Also check out the Least Common Multiple of 8445 and 8460