What is the Greatest Common Factor of 85569 and 85575?

Greatest common factor (GCF) of 85569 and 85575 is 3.

GCF(85569,85575) = 3

We will now calculate the prime factors of 85569 and 85575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85569 and 85575.

How to find the GCF of 85569 and 85575?

We will first find the prime factorization of 85569 and 85575. After we will calculate the factors of 85569 and 85575 and find the biggest common factor number .

Step-1: Prime Factorization of 85569

Prime factors of 85569 are 3, 11, 2593. Prime factorization of 85569 in exponential form is:

85569 = 3¹ × 11¹ × 2593¹

Step-2: 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-3: Factors of 85569

List of positive integer factors of 85569 that divides 85569 without a remainder.

1, 3, 11, 33, 2593, 7779, 28523

Step-4: Factors of 85575

List of positive integer factors of 85575 that divides 85569 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85569 and 85575. The biggest common factor number is the GCF number.
So the greatest common factor 85569 and 85575 is 3.

Also check out the Least Common Multiple of 85569 and 85575