What is the Greatest Common Factor of 48875 and 48885?

Greatest common factor (GCF) of 48875 and 48885 is 5.

GCF(48875,48885) = 5

We will now calculate the prime factors of 48875 and 48885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48875 and 48885.

How to find the GCF of 48875 and 48885?

We will first find the prime factorization of 48875 and 48885. After we will calculate the factors of 48875 and 48885 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 48885

Prime factors of 48885 are 3, 5, 3259. Prime factorization of 48885 in exponential form is:

48885 = 3¹ × 5¹ × 3259¹

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 48885

List of positive integer factors of 48885 that divides 48875 without a remainder.

1, 3, 5, 15, 3259, 9777, 16295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48875 and 48885. The biggest common factor number is the GCF number.
So the greatest common factor 48875 and 48885 is 5.

Also check out the Least Common Multiple of 48875 and 48885