What is the Greatest Common Factor of 48210 and 48219?

Greatest common factor (GCF) of 48210 and 48219 is 3.

GCF(48210,48219) = 3

We will now calculate the prime factors of 48210 and 48219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48210 and 48219.

How to find the GCF of 48210 and 48219?

We will first find the prime factorization of 48210 and 48219. After we will calculate the factors of 48210 and 48219 and find the biggest common factor number .

Step-1: Prime Factorization of 48210

Prime factors of 48210 are 2, 3, 5, 1607. Prime factorization of 48210 in exponential form is:

48210 = 2¹ × 3¹ × 5¹ × 1607¹

Step-2: Prime Factorization of 48219

Prime factors of 48219 are 3, 16073. Prime factorization of 48219 in exponential form is:

48219 = 3¹ × 16073¹

Step-3: Factors of 48210

List of positive integer factors of 48210 that divides 48210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1607, 3214, 4821, 8035, 9642, 16070, 24105

Step-4: Factors of 48219

List of positive integer factors of 48219 that divides 48210 without a remainder.

1, 3, 16073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48210 and 48219. The biggest common factor number is the GCF number.
So the greatest common factor 48210 and 48219 is 3.

Also check out the Least Common Multiple of 48210 and 48219