What is the Greatest Common Factor of 82789 and 82800?

Greatest common factor (GCF) of 82789 and 82800 is 1.

GCF(82789,82800) = 1

We will now calculate the prime factors of 82789 and 82800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82789 and 82800.

How to find the GCF of 82789 and 82800?

We will first find the prime factorization of 82789 and 82800. After we will calculate the factors of 82789 and 82800 and find the biggest common factor number .

Step-1: Prime Factorization of 82789

Prime factors of 82789 are 7, 11827. Prime factorization of 82789 in exponential form is:

82789 = 7¹ × 11827¹

Step-2: Prime Factorization of 82800

Prime factors of 82800 are 2, 3, 5, 23. Prime factorization of 82800 in exponential form is:

82800 = 2⁴ × 3² × 5² × 23¹

Step-3: Factors of 82789

List of positive integer factors of 82789 that divides 82789 without a remainder.

1, 7, 11827

Step-4: Factors of 82800

List of positive integer factors of 82800 that divides 82789 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 23, 24, 25, 30, 36, 40, 45, 46, 48, 50, 60, 69, 72, 75, 80, 90, 92, 100, 115, 120, 138, 144, 150, 180, 184, 200, 207, 225, 230, 240, 276, 300, 345, 360, 368, 400, 414, 450, 460, 552, 575, 600, 690, 720, 828, 900, 920, 1035, 1104, 1150, 1200, 1380, 1656, 1725, 1800, 1840, 2070, 2300, 2760, 3312, 3450, 3600, 4140, 4600, 5175, 5520, 6900, 8280, 9200, 10350, 13800, 16560, 20700, 27600, 41400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82789 and 82800. The biggest common factor number is the GCF number.
So the greatest common factor 82789 and 82800 is 1.

Also check out the Least Common Multiple of 82789 and 82800