What is the Greatest Common Factor of 85592 and 85605?

Greatest common factor (GCF) of 85592 and 85605 is 13.

GCF(85592,85605) = 13

We will now calculate the prime factors of 85592 and 85605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85592 and 85605.

How to find the GCF of 85592 and 85605?

We will first find the prime factorization of 85592 and 85605. After we will calculate the factors of 85592 and 85605 and find the biggest common factor number .

Step-1: Prime Factorization of 85592

Prime factors of 85592 are 2, 13, 823. Prime factorization of 85592 in exponential form is:

85592 = 2³ × 13¹ × 823¹

Step-2: Prime Factorization of 85605

Prime factors of 85605 are 3, 5, 13, 439. Prime factorization of 85605 in exponential form is:

85605 = 3¹ × 5¹ × 13¹ × 439¹

Step-3: Factors of 85592

List of positive integer factors of 85592 that divides 85592 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 823, 1646, 3292, 6584, 10699, 21398, 42796

Step-4: Factors of 85605

List of positive integer factors of 85605 that divides 85592 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 439, 1317, 2195, 5707, 6585, 17121, 28535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85592 and 85605. The biggest common factor number is the GCF number.
So the greatest common factor 85592 and 85605 is 13.

Also check out the Least Common Multiple of 85592 and 85605