What is the Greatest Common Factor of 82240 and 82260?

Greatest common factor (GCF) of 82240 and 82260 is 20.

GCF(82240,82260) = 20

We will now calculate the prime factors of 82240 and 82260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82240 and 82260.

How to find the GCF of 82240 and 82260?

We will first find the prime factorization of 82240 and 82260. After we will calculate the factors of 82240 and 82260 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82260

Prime factors of 82260 are 2, 3, 5, 457. Prime factorization of 82260 in exponential form is:

82260 = 2² × 3² × 5¹ × 457¹

Step-3: Factors of 82240

List of positive integer factors of 82240 that divides 82240 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

Step-4: Factors of 82260

List of positive integer factors of 82260 that divides 82240 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 457, 914, 1371, 1828, 2285, 2742, 4113, 4570, 5484, 6855, 8226, 9140, 13710, 16452, 20565, 27420, 41130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82240 and 82260. The biggest common factor number is the GCF number.
So the greatest common factor 82240 and 82260 is 20.

Also check out the Least Common Multiple of 82240 and 82260