What is the Greatest Common Factor of 82224 and 82240?

Greatest common factor (GCF) of 82224 and 82240 is 16.

GCF(82224,82240) = 16

We will now calculate the prime factors of 82224 and 82240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82224 and 82240.

How to find the GCF of 82224 and 82240?

We will first find the prime factorization of 82224 and 82240. After we will calculate the factors of 82224 and 82240 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82240

Prime factors of 82240 are 2, 5, 257. Prime factorization of 82240 in exponential form is:

82240 = 2⁶ × 5¹ × 257¹

Step-3: Factors of 82224

List of positive integer factors of 82224 that divides 82224 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

Step-4: Factors of 82240

List of positive integer factors of 82240 that divides 82224 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 257, 320, 514, 1028, 1285, 2056, 2570, 4112, 5140, 8224, 10280, 16448, 20560, 41120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82224 and 82240. The biggest common factor number is the GCF number.
So the greatest common factor 82224 and 82240 is 16.

Also check out the Least Common Multiple of 82224 and 82240