What is the Greatest Common Factor of 85017 and 85026?

Greatest common factor (GCF) of 85017 and 85026 is 3.

GCF(85017,85026) = 3

We will now calculate the prime factors of 85017 and 85026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85017 and 85026.

How to find the GCF of 85017 and 85026?

We will first find the prime factorization of 85017 and 85026. After we will calculate the factors of 85017 and 85026 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 85026

Prime factors of 85026 are 2, 3, 37, 383. Prime factorization of 85026 in exponential form is:

85026 = 2¹ × 3¹ × 37¹ × 383¹

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 85026

List of positive integer factors of 85026 that divides 85017 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 383, 766, 1149, 2298, 14171, 28342, 42513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85017 and 85026. The biggest common factor number is the GCF number.
So the greatest common factor 85017 and 85026 is 3.

Also check out the Least Common Multiple of 85017 and 85026