What is the Greatest Common Factor of 58545 and 58550?

Greatest common factor (GCF) of 58545 and 58550 is 5.

GCF(58545,58550) = 5

We will now calculate the prime factors of 58545 and 58550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58545 and 58550.

How to find the GCF of 58545 and 58550?

We will first find the prime factorization of 58545 and 58550. After we will calculate the factors of 58545 and 58550 and find the biggest common factor number .

Step-1: Prime Factorization of 58545

Prime factors of 58545 are 3, 5, 1301. Prime factorization of 58545 in exponential form is:

58545 = 3² × 5¹ × 1301¹

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 58545

List of positive integer factors of 58545 that divides 58545 without a remainder.

1, 3, 5, 9, 15, 45, 1301, 3903, 6505, 11709, 19515

Step-4: Factors of 58550

List of positive integer factors of 58550 that divides 58545 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 58545 and 58550. The biggest common factor number is the GCF number.
So the greatest common factor 58545 and 58550 is 5.

Also check out the Least Common Multiple of 58545 and 58550