What is the Greatest Common Factor of 85206 and 85217?

Greatest common factor (GCF) of 85206 and 85217 is 11.

GCF(85206,85217) = 11

We will now calculate the prime factors of 85206 and 85217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85206 and 85217.

How to find the GCF of 85206 and 85217?

We will first find the prime factorization of 85206 and 85217. After we will calculate the factors of 85206 and 85217 and find the biggest common factor number .

Step-1: Prime Factorization of 85206

Prime factors of 85206 are 2, 3, 11, 1291. Prime factorization of 85206 in exponential form is:

85206 = 2¹ × 3¹ × 11¹ × 1291¹

Step-2: Prime Factorization of 85217

Prime factors of 85217 are 11, 61, 127. Prime factorization of 85217 in exponential form is:

85217 = 11¹ × 61¹ × 127¹

Step-3: Factors of 85206

List of positive integer factors of 85206 that divides 85206 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1291, 2582, 3873, 7746, 14201, 28402, 42603

Step-4: Factors of 85217

List of positive integer factors of 85217 that divides 85206 without a remainder.

1, 11, 61, 127, 671, 1397, 7747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85206 and 85217. The biggest common factor number is the GCF number.
So the greatest common factor 85206 and 85217 is 11.

Also check out the Least Common Multiple of 85206 and 85217