What is the Greatest Common Factor of 58800 and 58811?

Greatest common factor (GCF) of 58800 and 58811 is 1.

GCF(58800,58811) = 1

We will now calculate the prime factors of 58800 and 58811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58800 and 58811.

How to find the GCF of 58800 and 58811?

We will first find the prime factorization of 58800 and 58811. After we will calculate the factors of 58800 and 58811 and find the biggest common factor number .

Step-1: Prime Factorization of 58800

Prime factors of 58800 are 2, 3, 5, 7. Prime factorization of 58800 in exponential form is:

58800 = 2⁴ × 3¹ × 5² × 7²

Step-2: Prime Factorization of 58811

Prime factors of 58811 are 23, 2557. Prime factorization of 58811 in exponential form is:

58811 = 23¹ × 2557¹

Step-3: Factors of 58800

List of positive integer factors of 58800 that divides 58800 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 49, 50, 56, 60, 70, 75, 80, 84, 98, 100, 105, 112, 120, 140, 147, 150, 168, 175, 196, 200, 210, 240, 245, 280, 294, 300, 336, 350, 392, 400, 420, 490, 525, 560, 588, 600, 700, 735, 784, 840, 980, 1050, 1176, 1200, 1225, 1400, 1470, 1680, 1960, 2100, 2352, 2450, 2800, 2940, 3675, 3920, 4200, 4900, 5880, 7350, 8400, 9800, 11760, 14700, 19600, 29400

Step-4: Factors of 58811

List of positive integer factors of 58811 that divides 58800 without a remainder.

1, 23, 2557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58800 and 58811. The biggest common factor number is the GCF number.
So the greatest common factor 58800 and 58811 is 1.

Also check out the Least Common Multiple of 58800 and 58811