What is the Greatest Common Factor of 82791 and 82800?

Greatest common factor (GCF) of 82791 and 82800 is 9.

GCF(82791,82800) = 9

We will now calculate the prime factors of 82791 and 82800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82791 and 82800.

How to find the GCF of 82791 and 82800?

We will first find the prime factorization of 82791 and 82800. After we will calculate the factors of 82791 and 82800 and find the biggest common factor number .

Step-1: Prime Factorization of 82791

Prime factors of 82791 are 3, 9199. Prime factorization of 82791 in exponential form is:

82791 = 3² × 9199¹

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 82791

List of positive integer factors of 82791 that divides 82791 without a remainder.

1, 3, 9, 9199, 27597

Step-4: Factors of 82800

List of positive integer factors of 82800 that divides 82791 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 82791 and 82800. The biggest common factor number is the GCF number.
So the greatest common factor 82791 and 82800 is 9.

Also check out the Least Common Multiple of 82791 and 82800