What is the Greatest Common Factor of 83222 and 83229?

Greatest common factor (GCF) of 83222 and 83229 is 1.

GCF(83222,83229) = 1

We will now calculate the prime factors of 83222 and 83229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83222 and 83229.

How to find the GCF of 83222 and 83229?

We will first find the prime factorization of 83222 and 83229. After we will calculate the factors of 83222 and 83229 and find the biggest common factor number .

Step-1: Prime Factorization of 83222

Prime factors of 83222 are 2, 41611. Prime factorization of 83222 in exponential form is:

83222 = 2¹ × 41611¹

Step-2: Prime Factorization of 83229

Prime factors of 83229 are 3, 27743. Prime factorization of 83229 in exponential form is:

83229 = 3¹ × 27743¹

Step-3: Factors of 83222

List of positive integer factors of 83222 that divides 83222 without a remainder.

1, 2, 41611

Step-4: Factors of 83229

List of positive integer factors of 83229 that divides 83222 without a remainder.

1, 3, 27743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83222 and 83229. The biggest common factor number is the GCF number.
So the greatest common factor 83222 and 83229 is 1.

Also check out the Least Common Multiple of 83222 and 83229