What is the Greatest Common Factor of 58900 and 58920?

Greatest common factor (GCF) of 58900 and 58920 is 20.

GCF(58900,58920) = 20

We will now calculate the prime factors of 58900 and 58920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58900 and 58920.

How to find the GCF of 58900 and 58920?

We will first find the prime factorization of 58900 and 58920. After we will calculate the factors of 58900 and 58920 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58920

Prime factors of 58920 are 2, 3, 5, 491. Prime factorization of 58920 in exponential form is:

58920 = 2³ × 3¹ × 5¹ × 491¹

Step-3: Factors of 58900

List of positive integer factors of 58900 that divides 58900 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

Step-4: Factors of 58920

List of positive integer factors of 58920 that divides 58900 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 491, 982, 1473, 1964, 2455, 2946, 3928, 4910, 5892, 7365, 9820, 11784, 14730, 19640, 29460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58900 and 58920. The biggest common factor number is the GCF number.
So the greatest common factor 58900 and 58920 is 20.

Also check out the Least Common Multiple of 58900 and 58920