What is the Greatest Common Factor of 48525 and 48530?

Greatest common factor (GCF) of 48525 and 48530 is 5.

GCF(48525,48530) = 5

We will now calculate the prime factors of 48525 and 48530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48525 and 48530.

How to find the GCF of 48525 and 48530?

We will first find the prime factorization of 48525 and 48530. After we will calculate the factors of 48525 and 48530 and find the biggest common factor number .

Step-1: Prime Factorization of 48525

Prime factors of 48525 are 3, 5, 647. Prime factorization of 48525 in exponential form is:

48525 = 3¹ × 5² × 647¹

Step-2: Prime Factorization of 48530

Prime factors of 48530 are 2, 5, 23, 211. Prime factorization of 48530 in exponential form is:

48530 = 2¹ × 5¹ × 23¹ × 211¹

Step-3: Factors of 48525

List of positive integer factors of 48525 that divides 48525 without a remainder.

1, 3, 5, 15, 25, 75, 647, 1941, 3235, 9705, 16175

Step-4: Factors of 48530

List of positive integer factors of 48530 that divides 48525 without a remainder.

1, 2, 5, 10, 23, 46, 115, 211, 230, 422, 1055, 2110, 4853, 9706, 24265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48525 and 48530. The biggest common factor number is the GCF number.
So the greatest common factor 48525 and 48530 is 5.

Also check out the Least Common Multiple of 48525 and 48530