What is the Greatest Common Factor of 48225 and 48242?

Greatest common factor (GCF) of 48225 and 48242 is 1.

GCF(48225,48242) = 1

We will now calculate the prime factors of 48225 and 48242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48225 and 48242.

How to find the GCF of 48225 and 48242?

We will first find the prime factorization of 48225 and 48242. After we will calculate the factors of 48225 and 48242 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 48242

Prime factors of 48242 are 2, 24121. Prime factorization of 48242 in exponential form is:

48242 = 2¹ × 24121¹

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 48242

List of positive integer factors of 48242 that divides 48225 without a remainder.

1, 2, 24121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48225 and 48242. The biggest common factor number is the GCF number.
So the greatest common factor 48225 and 48242 is 1.

Also check out the Least Common Multiple of 48225 and 48242