What is the Greatest Common Factor of 85605 and 85617?

Greatest common factor (GCF) of 85605 and 85617 is 3.

GCF(85605,85617) = 3

We will now calculate the prime factors of 85605 and 85617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85605 and 85617.

How to find the GCF of 85605 and 85617?

We will first find the prime factorization of 85605 and 85617. After we will calculate the factors of 85605 and 85617 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85617

Prime factors of 85617 are 3, 7, 151. Prime factorization of 85617 in exponential form is:

85617 = 3⁴ × 7¹ × 151¹

Step-3: Factors of 85605

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

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

Step-4: Factors of 85617

List of positive integer factors of 85617 that divides 85605 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 151, 189, 453, 567, 1057, 1359, 3171, 4077, 9513, 12231, 28539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85605 and 85617. The biggest common factor number is the GCF number.
So the greatest common factor 85605 and 85617 is 3.

Also check out the Least Common Multiple of 85605 and 85617