What is the Greatest Common Factor of 28170 and 28175?

Greatest common factor (GCF) of 28170 and 28175 is 5.

GCF(28170,28175) = 5

We will now calculate the prime factors of 28170 and 28175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28170 and 28175.

How to find the GCF of 28170 and 28175?

We will first find the prime factorization of 28170 and 28175. After we will calculate the factors of 28170 and 28175 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28175

Prime factors of 28175 are 5, 7, 23. Prime factorization of 28175 in exponential form is:

28175 = 5² × 7² × 23¹

Step-3: Factors of 28170

List of positive integer factors of 28170 that divides 28170 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

Step-4: Factors of 28175

List of positive integer factors of 28175 that divides 28170 without a remainder.

1, 5, 7, 23, 25, 35, 49, 115, 161, 175, 245, 575, 805, 1127, 1225, 4025, 5635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28170 and 28175. The biggest common factor number is the GCF number.
So the greatest common factor 28170 and 28175 is 5.

Also check out the Least Common Multiple of 28170 and 28175