What is the Greatest Common Factor of 48225 and 48245?

Greatest common factor (GCF) of 48225 and 48245 is 5.

GCF(48225,48245) = 5

We will now calculate the prime factors of 48225 and 48245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48225 and 48245.

How to find the GCF of 48225 and 48245?

We will first find the prime factorization of 48225 and 48245. After we will calculate the factors of 48225 and 48245 and find the biggest common factor number .

Step-1: Prime Factorization of 48225

Prime factors of 48225 are 3, 5, 643. Prime factorization of 48225 in exponential form is:

48225 = 3¹ × 5² × 643¹

Step-2: Prime Factorization of 48245

Prime factors of 48245 are 5, 9649. Prime factorization of 48245 in exponential form is:

48245 = 5¹ × 9649¹

Step-3: Factors of 48225

List of positive integer factors of 48225 that divides 48225 without a remainder.

1, 3, 5, 15, 25, 75, 643, 1929, 3215, 9645, 16075

Step-4: Factors of 48245

List of positive integer factors of 48245 that divides 48225 without a remainder.

1, 5, 9649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48225 and 48245. The biggest common factor number is the GCF number.
So the greatest common factor 48225 and 48245 is 5.

Also check out the Least Common Multiple of 48225 and 48245