What is the Greatest Common Factor of 58530 and 58550?

Greatest common factor (GCF) of 58530 and 58550 is 10.

GCF(58530,58550) = 10

We will now calculate the prime factors of 58530 and 58550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58530 and 58550.

How to find the GCF of 58530 and 58550?

We will first find the prime factorization of 58530 and 58550. After we will calculate the factors of 58530 and 58550 and find the biggest common factor number .

Step-1: Prime Factorization of 58530

Prime factors of 58530 are 2, 3, 5, 1951. Prime factorization of 58530 in exponential form is:

58530 = 2¹ × 3¹ × 5¹ × 1951¹

Step-2: Prime Factorization of 58550

Prime factors of 58550 are 2, 5, 1171. Prime factorization of 58550 in exponential form is:

58550 = 2¹ × 5² × 1171¹

Step-3: Factors of 58530

List of positive integer factors of 58530 that divides 58530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1951, 3902, 5853, 9755, 11706, 19510, 29265

Step-4: Factors of 58550

List of positive integer factors of 58550 that divides 58530 without a remainder.

1, 2, 5, 10, 25, 50, 1171, 2342, 5855, 11710, 29275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58530 and 58550. The biggest common factor number is the GCF number.
So the greatest common factor 58530 and 58550 is 10.

Also check out the Least Common Multiple of 58530 and 58550