What is the Greatest Common Factor of 85635 and 85650?

Greatest common factor (GCF) of 85635 and 85650 is 15.

GCF(85635,85650) = 15

We will now calculate the prime factors of 85635 and 85650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85635 and 85650.

How to find the GCF of 85635 and 85650?

We will first find the prime factorization of 85635 and 85650. After we will calculate the factors of 85635 and 85650 and find the biggest common factor number .

Step-1: Prime Factorization of 85635

Prime factors of 85635 are 3, 5, 11, 173. Prime factorization of 85635 in exponential form is:

85635 = 3² × 5¹ × 11¹ × 173¹

Step-2: Prime Factorization of 85650

Prime factors of 85650 are 2, 3, 5, 571. Prime factorization of 85650 in exponential form is:

85650 = 2¹ × 3¹ × 5² × 571¹

Step-3: Factors of 85635

List of positive integer factors of 85635 that divides 85635 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 173, 495, 519, 865, 1557, 1903, 2595, 5709, 7785, 9515, 17127, 28545

Step-4: Factors of 85650

List of positive integer factors of 85650 that divides 85635 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 571, 1142, 1713, 2855, 3426, 5710, 8565, 14275, 17130, 28550, 42825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85635 and 85650. The biggest common factor number is the GCF number.
So the greatest common factor 85635 and 85650 is 15.

Also check out the Least Common Multiple of 85635 and 85650