What is the Greatest Common Factor of 82600 and 82617?

Greatest common factor (GCF) of 82600 and 82617 is 1.

GCF(82600,82617) = 1

We will now calculate the prime factors of 82600 and 82617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82600 and 82617.

How to find the GCF of 82600 and 82617?

We will first find the prime factorization of 82600 and 82617. After we will calculate the factors of 82600 and 82617 and find the biggest common factor number .

Step-1: Prime Factorization of 82600

Prime factors of 82600 are 2, 5, 7, 59. Prime factorization of 82600 in exponential form is:

82600 = 2³ × 5² × 7¹ × 59¹

Step-2: Prime Factorization of 82617

Prime factors of 82617 are 3, 27539. Prime factorization of 82617 in exponential form is:

82617 = 3¹ × 27539¹

Step-3: Factors of 82600

List of positive integer factors of 82600 that divides 82600 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 59, 70, 100, 118, 140, 175, 200, 236, 280, 295, 350, 413, 472, 590, 700, 826, 1180, 1400, 1475, 1652, 2065, 2360, 2950, 3304, 4130, 5900, 8260, 10325, 11800, 16520, 20650, 41300

Step-4: Factors of 82617

List of positive integer factors of 82617 that divides 82600 without a remainder.

1, 3, 27539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82600 and 82617. The biggest common factor number is the GCF number.
So the greatest common factor 82600 and 82617 is 1.

Also check out the Least Common Multiple of 82600 and 82617