What is the Greatest Common Factor of 48810 and 48814?

Greatest common factor (GCF) of 48810 and 48814 is 2.

GCF(48810,48814) = 2

We will now calculate the prime factors of 48810 and 48814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48810 and 48814.

How to find the GCF of 48810 and 48814?

We will first find the prime factorization of 48810 and 48814. After we will calculate the factors of 48810 and 48814 and find the biggest common factor number .

Step-1: Prime Factorization of 48810

Prime factors of 48810 are 2, 3, 5, 1627. Prime factorization of 48810 in exponential form is:

48810 = 2¹ × 3¹ × 5¹ × 1627¹

Step-2: Prime Factorization of 48814

Prime factors of 48814 are 2, 24407. Prime factorization of 48814 in exponential form is:

48814 = 2¹ × 24407¹

Step-3: Factors of 48810

List of positive integer factors of 48810 that divides 48810 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1627, 3254, 4881, 8135, 9762, 16270, 24405

Step-4: Factors of 48814

List of positive integer factors of 48814 that divides 48810 without a remainder.

1, 2, 24407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48810 and 48814. The biggest common factor number is the GCF number.
So the greatest common factor 48810 and 48814 is 2.

Also check out the Least Common Multiple of 48810 and 48814