What is the Greatest Common Factor of 83216 and 83222?

Greatest common factor (GCF) of 83216 and 83222 is 2.

GCF(83216,83222) = 2

We will now calculate the prime factors of 83216 and 83222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83216 and 83222.

How to find the GCF of 83216 and 83222?

We will first find the prime factorization of 83216 and 83222. After we will calculate the factors of 83216 and 83222 and find the biggest common factor number .

Step-1: Prime Factorization of 83216

Prime factors of 83216 are 2, 7, 743. Prime factorization of 83216 in exponential form is:

83216 = 2⁴ × 7¹ × 743¹

Step-2: Prime Factorization of 83222

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

83222 = 2¹ × 41611¹

Step-3: Factors of 83216

List of positive integer factors of 83216 that divides 83216 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 743, 1486, 2972, 5201, 5944, 10402, 11888, 20804, 41608

Step-4: Factors of 83222

List of positive integer factors of 83222 that divides 83216 without a remainder.

1, 2, 41611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83216 and 83222. The biggest common factor number is the GCF number.
So the greatest common factor 83216 and 83222 is 2.

Also check out the Least Common Multiple of 83216 and 83222