What is the Greatest Common Factor of 48810 and 48825?

Greatest common factor (GCF) of 48810 and 48825 is 15.

GCF(48810,48825) = 15

We will now calculate the prime factors of 48810 and 48825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48810 and 48825.

How to find the GCF of 48810 and 48825?

We will first find the prime factorization of 48810 and 48825. After we will calculate the factors of 48810 and 48825 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 48825

Prime factors of 48825 are 3, 5, 7, 31. Prime factorization of 48825 in exponential form is:

48825 = 3² × 5² × 7¹ × 31¹

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 48825

List of positive integer factors of 48825 that divides 48810 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 31, 35, 45, 63, 75, 93, 105, 155, 175, 217, 225, 279, 315, 465, 525, 651, 775, 1085, 1395, 1575, 1953, 2325, 3255, 5425, 6975, 9765, 16275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48810 and 48825. The biggest common factor number is the GCF number.
So the greatest common factor 48810 and 48825 is 15.

Also check out the Least Common Multiple of 48810 and 48825