What is the Greatest Common Factor of 82250 and 82264?

Greatest common factor (GCF) of 82250 and 82264 is 14.

GCF(82250,82264) = 14

We will now calculate the prime factors of 82250 and 82264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82250 and 82264.

How to find the GCF of 82250 and 82264?

We will first find the prime factorization of 82250 and 82264. After we will calculate the factors of 82250 and 82264 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82264

Prime factors of 82264 are 2, 7, 13, 113. Prime factorization of 82264 in exponential form is:

82264 = 2³ × 7¹ × 13¹ × 113¹

Step-3: Factors of 82250

List of positive integer factors of 82250 that divides 82250 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

Step-4: Factors of 82264

List of positive integer factors of 82264 that divides 82250 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 113, 182, 226, 364, 452, 728, 791, 904, 1469, 1582, 2938, 3164, 5876, 6328, 10283, 11752, 20566, 41132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82250 and 82264. The biggest common factor number is the GCF number.
So the greatest common factor 82250 and 82264 is 14.

Also check out the Least Common Multiple of 82250 and 82264