What is the Greatest Common Factor of 82240 and 82250?

Greatest common factor (GCF) of 82240 and 82250 is 10.

GCF(82240,82250) = 10

We will now calculate the prime factors of 82240 and 82250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82240 and 82250.

How to find the GCF of 82240 and 82250?

We will first find the prime factorization of 82240 and 82250. After we will calculate the factors of 82240 and 82250 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 82250

Prime factors of 82250 are 2, 5, 7, 47. Prime factorization of 82250 in exponential form is:

82250 = 2¹ × 5³ × 7¹ × 47¹

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 82250

List of positive integer factors of 82250 that divides 82240 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 47, 50, 70, 94, 125, 175, 235, 250, 329, 350, 470, 658, 875, 1175, 1645, 1750, 2350, 3290, 5875, 8225, 11750, 16450, 41125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82240 and 82250. The biggest common factor number is the GCF number.
So the greatest common factor 82240 and 82250 is 10.

Also check out the Least Common Multiple of 82240 and 82250