What is the Greatest Common Factor of 48816 and 48825?

Greatest common factor (GCF) of 48816 and 48825 is 9.

GCF(48816,48825) = 9

We will now calculate the prime factors of 48816 and 48825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48816 and 48825.

How to find the GCF of 48816 and 48825?

We will first find the prime factorization of 48816 and 48825. After we will calculate the factors of 48816 and 48825 and find the biggest common factor number .

Step-1: Prime Factorization of 48816

Prime factors of 48816 are 2, 3, 113. Prime factorization of 48816 in exponential form is:

48816 = 2⁴ × 3³ × 113¹

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 48816

List of positive integer factors of 48816 that divides 48816 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 113, 144, 216, 226, 339, 432, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 3051, 4068, 5424, 6102, 8136, 12204, 16272, 24408

Step-4: Factors of 48825

List of positive integer factors of 48825 that divides 48816 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 48816 and 48825. The biggest common factor number is the GCF number.
So the greatest common factor 48816 and 48825 is 9.

Also check out the Least Common Multiple of 48816 and 48825