What is the Greatest Common Factor of 48810 and 48820?

Greatest common factor (GCF) of 48810 and 48820 is 10.

GCF(48810,48820) = 10

We will now calculate the prime factors of 48810 and 48820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48810 and 48820.

How to find the GCF of 48810 and 48820?

We will first find the prime factorization of 48810 and 48820. After we will calculate the factors of 48810 and 48820 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 48820

Prime factors of 48820 are 2, 5, 2441. Prime factorization of 48820 in exponential form is:

48820 = 2² × 5¹ × 2441¹

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 48820

List of positive integer factors of 48820 that divides 48810 without a remainder.

1, 2, 4, 5, 10, 20, 2441, 4882, 9764, 12205, 24410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48810 and 48820. The biggest common factor number is the GCF number.
So the greatest common factor 48810 and 48820 is 10.

Also check out the Least Common Multiple of 48810 and 48820