What is the Greatest Common Factor of 85017 and 85032?

Greatest common factor (GCF) of 85017 and 85032 is 3.

GCF(85017,85032) = 3

We will now calculate the prime factors of 85017 and 85032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85017 and 85032.

How to find the GCF of 85017 and 85032?

We will first find the prime factorization of 85017 and 85032. After we will calculate the factors of 85017 and 85032 and find the biggest common factor number .

Step-1: Prime Factorization of 85017

Prime factors of 85017 are 3, 17, 1667. Prime factorization of 85017 in exponential form is:

85017 = 3¹ × 17¹ × 1667¹

Step-2: Prime Factorization of 85032

Prime factors of 85032 are 2, 3, 1181. Prime factorization of 85032 in exponential form is:

85032 = 2³ × 3² × 1181¹

Step-3: Factors of 85017

List of positive integer factors of 85017 that divides 85017 without a remainder.

1, 3, 17, 51, 1667, 5001, 28339

Step-4: Factors of 85032

List of positive integer factors of 85032 that divides 85017 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1181, 2362, 3543, 4724, 7086, 9448, 10629, 14172, 21258, 28344, 42516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85017 and 85032. The biggest common factor number is the GCF number.
So the greatest common factor 85017 and 85032 is 3.

Also check out the Least Common Multiple of 85017 and 85032