What is the Greatest Common Factor of 85575 and 85590?

Greatest common factor (GCF) of 85575 and 85590 is 15.

GCF(85575,85590) = 15

We will now calculate the prime factors of 85575 and 85590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85575 and 85590.

How to find the GCF of 85575 and 85590?

We will first find the prime factorization of 85575 and 85590. After we will calculate the factors of 85575 and 85590 and find the biggest common factor number .

Step-1: Prime Factorization of 85575

Prime factors of 85575 are 3, 5, 7, 163. Prime factorization of 85575 in exponential form is:

85575 = 3¹ × 5² × 7¹ × 163¹

Step-2: Prime Factorization of 85590

Prime factors of 85590 are 2, 3, 5, 317. Prime factorization of 85590 in exponential form is:

85590 = 2¹ × 3³ × 5¹ × 317¹

Step-3: Factors of 85575

List of positive integer factors of 85575 that divides 85575 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 163, 175, 489, 525, 815, 1141, 2445, 3423, 4075, 5705, 12225, 17115, 28525

Step-4: Factors of 85590

List of positive integer factors of 85590 that divides 85575 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 317, 634, 951, 1585, 1902, 2853, 3170, 4755, 5706, 8559, 9510, 14265, 17118, 28530, 42795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85575 and 85590. The biggest common factor number is the GCF number.
So the greatest common factor 85575 and 85590 is 15.

Also check out the Least Common Multiple of 85575 and 85590