What is the Greatest Common Factor of 82243 and 82250?

Greatest common factor (GCF) of 82243 and 82250 is 7.

GCF(82243,82250) = 7

We will now calculate the prime factors of 82243 and 82250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82243 and 82250.

How to find the GCF of 82243 and 82250?

We will first find the prime factorization of 82243 and 82250. After we will calculate the factors of 82243 and 82250 and find the biggest common factor number .

Step-1: Prime Factorization of 82243

Prime factors of 82243 are 7, 31, 379. Prime factorization of 82243 in exponential form is:

82243 = 7¹ × 31¹ × 379¹

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 82243

List of positive integer factors of 82243 that divides 82243 without a remainder.

1, 7, 31, 217, 379, 2653, 11749

Step-4: Factors of 82250

List of positive integer factors of 82250 that divides 82243 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 82243 and 82250. The biggest common factor number is the GCF number.
So the greatest common factor 82243 and 82250 is 7.

Also check out the Least Common Multiple of 82243 and 82250