What is the Greatest Common Factor of 48810 and 48824?

Greatest common factor (GCF) of 48810 and 48824 is 2.

GCF(48810,48824) = 2

We will now calculate the prime factors of 48810 and 48824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48810 and 48824.

How to find the GCF of 48810 and 48824?

We will first find the prime factorization of 48810 and 48824. After we will calculate the factors of 48810 and 48824 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 48824

Prime factors of 48824 are 2, 17, 359. Prime factorization of 48824 in exponential form is:

48824 = 2³ × 17¹ × 359¹

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 48824

List of positive integer factors of 48824 that divides 48810 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 359, 718, 1436, 2872, 6103, 12206, 24412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48810 and 48824. The biggest common factor number is the GCF number.
So the greatest common factor 48810 and 48824 is 2.

Also check out the Least Common Multiple of 48810 and 48824