What is the Greatest Common Factor of 85221 and 85229?

Greatest common factor (GCF) of 85221 and 85229 is 1.

GCF(85221,85229) = 1

We will now calculate the prime factors of 85221 and 85229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85221 and 85229.

How to find the GCF of 85221 and 85229?

We will first find the prime factorization of 85221 and 85229. After we will calculate the factors of 85221 and 85229 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 85229

Prime factors of 85229 are 85229. Prime factorization of 85229 in exponential form is:

85229 = 85229¹

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 85229

List of positive integer factors of 85229 that divides 85221 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85221 and 85229. The biggest common factor number is the GCF number.
So the greatest common factor 85221 and 85229 is 1.

Also check out the Least Common Multiple of 85221 and 85229