What is the Greatest Common Factor of 58892 and 58900?

Greatest common factor (GCF) of 58892 and 58900 is 4.

GCF(58892,58900) = 4

We will now calculate the prime factors of 58892 and 58900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58892 and 58900.

How to find the GCF of 58892 and 58900?

We will first find the prime factorization of 58892 and 58900. After we will calculate the factors of 58892 and 58900 and find the biggest common factor number .

Step-1: Prime Factorization of 58892

Prime factors of 58892 are 2, 14723. Prime factorization of 58892 in exponential form is:

58892 = 2² × 14723¹

Step-2: Prime Factorization of 58900

Prime factors of 58900 are 2, 5, 19, 31. Prime factorization of 58900 in exponential form is:

58900 = 2² × 5² × 19¹ × 31¹

Step-3: Factors of 58892

List of positive integer factors of 58892 that divides 58892 without a remainder.

1, 2, 4, 14723, 29446

Step-4: Factors of 58900

List of positive integer factors of 58900 that divides 58892 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 31, 38, 50, 62, 76, 95, 100, 124, 155, 190, 310, 380, 475, 589, 620, 775, 950, 1178, 1550, 1900, 2356, 2945, 3100, 5890, 11780, 14725, 29450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58892 and 58900. The biggest common factor number is the GCF number.
So the greatest common factor 58892 and 58900 is 4.

Also check out the Least Common Multiple of 58892 and 58900