What is the Greatest Common Factor of 28165 and 28170?

Greatest common factor (GCF) of 28165 and 28170 is 5.

GCF(28165,28170) = 5

We will now calculate the prime factors of 28165 and 28170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28165 and 28170.

How to find the GCF of 28165 and 28170?

We will first find the prime factorization of 28165 and 28170. After we will calculate the factors of 28165 and 28170 and find the biggest common factor number .

Step-1: Prime Factorization of 28165

Prime factors of 28165 are 5, 43, 131. Prime factorization of 28165 in exponential form is:

28165 = 5¹ × 43¹ × 131¹

Step-2: Prime Factorization of 28170

Prime factors of 28170 are 2, 3, 5, 313. Prime factorization of 28170 in exponential form is:

28170 = 2¹ × 3² × 5¹ × 313¹

Step-3: Factors of 28165

List of positive integer factors of 28165 that divides 28165 without a remainder.

1, 5, 43, 131, 215, 655, 5633

Step-4: Factors of 28170

List of positive integer factors of 28170 that divides 28165 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 313, 626, 939, 1565, 1878, 2817, 3130, 4695, 5634, 9390, 14085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28165 and 28170. The biggest common factor number is the GCF number.
So the greatest common factor 28165 and 28170 is 5.

Also check out the Least Common Multiple of 28165 and 28170