What is the Greatest Common Factor of 17025 and 17040?

Greatest common factor (GCF) of 17025 and 17040 is 15.

GCF(17025,17040) = 15

We will now calculate the prime factors of 17025 and 17040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17025 and 17040.

How to find the GCF of 17025 and 17040?

We will first find the prime factorization of 17025 and 17040. After we will calculate the factors of 17025 and 17040 and find the biggest common factor number .

Step-1: Prime Factorization of 17025

Prime factors of 17025 are 3, 5, 227. Prime factorization of 17025 in exponential form is:

17025 = 3¹ × 5² × 227¹

Step-2: Prime Factorization of 17040

Prime factors of 17040 are 2, 3, 5, 71. Prime factorization of 17040 in exponential form is:

17040 = 2⁴ × 3¹ × 5¹ × 71¹

Step-3: Factors of 17025

List of positive integer factors of 17025 that divides 17025 without a remainder.

1, 3, 5, 15, 25, 75, 227, 681, 1135, 3405, 5675

Step-4: Factors of 17040

List of positive integer factors of 17040 that divides 17025 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 71, 80, 120, 142, 213, 240, 284, 355, 426, 568, 710, 852, 1065, 1136, 1420, 1704, 2130, 2840, 3408, 4260, 5680, 8520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17025 and 17040. The biggest common factor number is the GCF number.
So the greatest common factor 17025 and 17040 is 15.

Also check out the Least Common Multiple of 17025 and 17040