What is the Greatest Common Factor of 48875 and 48880?

Greatest common factor (GCF) of 48875 and 48880 is 5.

GCF(48875,48880) = 5

We will now calculate the prime factors of 48875 and 48880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48875 and 48880.

How to find the GCF of 48875 and 48880?

We will first find the prime factorization of 48875 and 48880. After we will calculate the factors of 48875 and 48880 and find the biggest common factor number .

Step-1: Prime Factorization of 48875

Prime factors of 48875 are 5, 17, 23. Prime factorization of 48875 in exponential form is:

48875 = 5³ × 17¹ × 23¹

Step-2: Prime Factorization of 48880

Prime factors of 48880 are 2, 5, 13, 47. Prime factorization of 48880 in exponential form is:

48880 = 2⁴ × 5¹ × 13¹ × 47¹

Step-3: Factors of 48875

List of positive integer factors of 48875 that divides 48875 without a remainder.

1, 5, 17, 23, 25, 85, 115, 125, 391, 425, 575, 1955, 2125, 2875, 9775

Step-4: Factors of 48880

List of positive integer factors of 48880 that divides 48875 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 47, 52, 65, 80, 94, 104, 130, 188, 208, 235, 260, 376, 470, 520, 611, 752, 940, 1040, 1222, 1880, 2444, 3055, 3760, 4888, 6110, 9776, 12220, 24440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48875 and 48880. The biggest common factor number is the GCF number.
So the greatest common factor 48875 and 48880 is 5.

Also check out the Least Common Multiple of 48875 and 48880