What is the Greatest Common Factor of 83216 and 83223?

Greatest common factor (GCF) of 83216 and 83223 is 7.

GCF(83216,83223) = 7

We will now calculate the prime factors of 83216 and 83223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83216 and 83223.

How to find the GCF of 83216 and 83223?

We will first find the prime factorization of 83216 and 83223. After we will calculate the factors of 83216 and 83223 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 83223

Prime factors of 83223 are 3, 7, 1321. Prime factorization of 83223 in exponential form is:

83223 = 3² × 7¹ × 1321¹

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 83223

List of positive integer factors of 83223 that divides 83216 without a remainder.

1, 3, 7, 9, 21, 63, 1321, 3963, 9247, 11889, 27741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83216 and 83223. The biggest common factor number is the GCF number.
So the greatest common factor 83216 and 83223 is 7.

Also check out the Least Common Multiple of 83216 and 83223