What is the Greatest Common Factor of 82264 and 82273?

Greatest common factor (GCF) of 82264 and 82273 is 1.

GCF(82264,82273) = 1

We will now calculate the prime factors of 82264 and 82273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82264 and 82273.

How to find the GCF of 82264 and 82273?

We will first find the prime factorization of 82264 and 82273. After we will calculate the factors of 82264 and 82273 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82273

Prime factors of 82273 are 29, 2837. Prime factorization of 82273 in exponential form is:

82273 = 29¹ × 2837¹

Step-3: Factors of 82264

List of positive integer factors of 82264 that divides 82264 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

Step-4: Factors of 82273

List of positive integer factors of 82273 that divides 82264 without a remainder.

1, 29, 2837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82264 and 82273. The biggest common factor number is the GCF number.
So the greatest common factor 82264 and 82273 is 1.

Also check out the Least Common Multiple of 82264 and 82273