What is the Greatest Common Factor of 48225 and 48244?

Greatest common factor (GCF) of 48225 and 48244 is 1.

GCF(48225,48244) = 1

We will now calculate the prime factors of 48225 and 48244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48225 and 48244.

How to find the GCF of 48225 and 48244?

We will first find the prime factorization of 48225 and 48244. After we will calculate the factors of 48225 and 48244 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 48244

Prime factors of 48244 are 2, 7, 1723. Prime factorization of 48244 in exponential form is:

48244 = 2² × 7¹ × 1723¹

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 48244

List of positive integer factors of 48244 that divides 48225 without a remainder.

1, 2, 4, 7, 14, 28, 1723, 3446, 6892, 12061, 24122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48225 and 48244. The biggest common factor number is the GCF number.
So the greatest common factor 48225 and 48244 is 1.

Also check out the Least Common Multiple of 48225 and 48244