What is the Greatest Common Factor of 82216 and 82224?

Greatest common factor (GCF) of 82216 and 82224 is 8.

GCF(82216,82224) = 8

We will now calculate the prime factors of 82216 and 82224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82216 and 82224.

How to find the GCF of 82216 and 82224?

We will first find the prime factorization of 82216 and 82224. After we will calculate the factors of 82216 and 82224 and find the biggest common factor number .

Step-1: Prime Factorization of 82216

Prime factors of 82216 are 2, 43, 239. Prime factorization of 82216 in exponential form is:

82216 = 2³ × 43¹ × 239¹

Step-2: Prime Factorization of 82224

Prime factors of 82224 are 2, 3, 571. Prime factorization of 82224 in exponential form is:

82224 = 2⁴ × 3² × 571¹

Step-3: Factors of 82216

List of positive integer factors of 82216 that divides 82216 without a remainder.

1, 2, 4, 8, 43, 86, 172, 239, 344, 478, 956, 1912, 10277, 20554, 41108

Step-4: Factors of 82224

List of positive integer factors of 82224 that divides 82216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 571, 1142, 1713, 2284, 3426, 4568, 5139, 6852, 9136, 10278, 13704, 20556, 27408, 41112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82216 and 82224. The biggest common factor number is the GCF number.
So the greatest common factor 82216 and 82224 is 8.

Also check out the Least Common Multiple of 82216 and 82224