What is the Greatest Common Factor of 58783 and 58800?

Greatest common factor (GCF) of 58783 and 58800 is 1.

GCF(58783,58800) = 1

We will now calculate the prime factors of 58783 and 58800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58783 and 58800.

How to find the GCF of 58783 and 58800?

We will first find the prime factorization of 58783 and 58800. After we will calculate the factors of 58783 and 58800 and find the biggest common factor number .

Step-1: Prime Factorization of 58783

Prime factors of 58783 are 29, 2027. Prime factorization of 58783 in exponential form is:

58783 = 29¹ × 2027¹

Step-2: 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-3: Factors of 58783

List of positive integer factors of 58783 that divides 58783 without a remainder.

1, 29, 2027

Step-4: Factors of 58800

List of positive integer factors of 58800 that divides 58783 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58783 and 58800. The biggest common factor number is the GCF number.
So the greatest common factor 58783 and 58800 is 1.

Also check out the Least Common Multiple of 58783 and 58800