What is the Greatest Common Factor of 48214 and 48225?

Greatest common factor (GCF) of 48214 and 48225 is 1.

GCF(48214,48225) = 1

We will now calculate the prime factors of 48214 and 48225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48214 and 48225.

How to find the GCF of 48214 and 48225?

We will first find the prime factorization of 48214 and 48225. After we will calculate the factors of 48214 and 48225 and find the biggest common factor number .

Step-1: Prime Factorization of 48214

Prime factors of 48214 are 2, 24107. Prime factorization of 48214 in exponential form is:

48214 = 2¹ × 24107¹

Step-2: 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-3: Factors of 48214

List of positive integer factors of 48214 that divides 48214 without a remainder.

1, 2, 24107

Step-4: Factors of 48225

List of positive integer factors of 48225 that divides 48214 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48214 and 48225. The biggest common factor number is the GCF number.
So the greatest common factor 48214 and 48225 is 1.

Also check out the Least Common Multiple of 48214 and 48225