What is the Greatest Common Factor of 85221 and 85238?

Greatest common factor (GCF) of 85221 and 85238 is 17.

GCF(85221,85238) = 17

We will now calculate the prime factors of 85221 and 85238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85221 and 85238.

How to find the GCF of 85221 and 85238?

We will first find the prime factorization of 85221 and 85238. After we will calculate the factors of 85221 and 85238 and find the biggest common factor number .

Step-1: Prime Factorization of 85221

Prime factors of 85221 are 3, 17, 557. Prime factorization of 85221 in exponential form is:

85221 = 3² × 17¹ × 557¹

Step-2: Prime Factorization of 85238

Prime factors of 85238 are 2, 17, 23, 109. Prime factorization of 85238 in exponential form is:

85238 = 2¹ × 17¹ × 23¹ × 109¹

Step-3: Factors of 85221

List of positive integer factors of 85221 that divides 85221 without a remainder.

1, 3, 9, 17, 51, 153, 557, 1671, 5013, 9469, 28407

Step-4: Factors of 85238

List of positive integer factors of 85238 that divides 85221 without a remainder.

1, 2, 17, 23, 34, 46, 109, 218, 391, 782, 1853, 2507, 3706, 5014, 42619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85221 and 85238. The biggest common factor number is the GCF number.
So the greatest common factor 85221 and 85238 is 17.

Also check out the Least Common Multiple of 85221 and 85238