What is the Greatest Common Factor of 85214 and 85221?

Greatest common factor (GCF) of 85214 and 85221 is 1.

GCF(85214,85221) = 1

We will now calculate the prime factors of 85214 and 85221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85214 and 85221.

How to find the GCF of 85214 and 85221?

We will first find the prime factorization of 85214 and 85221. After we will calculate the factors of 85214 and 85221 and find the biggest common factor number .

Step-1: Prime Factorization of 85214

Prime factors of 85214 are 2, 137, 311. Prime factorization of 85214 in exponential form is:

85214 = 2¹ × 137¹ × 311¹

Step-2: 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-3: Factors of 85214

List of positive integer factors of 85214 that divides 85214 without a remainder.

1, 2, 137, 274, 311, 622, 42607

Step-4: Factors of 85221

List of positive integer factors of 85221 that divides 85214 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85214 and 85221. The biggest common factor number is the GCF number.
So the greatest common factor 85214 and 85221 is 1.

Also check out the Least Common Multiple of 85214 and 85221