What is the Greatest Common Factor of 48875 and 48895?

Greatest common factor (GCF) of 48875 and 48895 is 5.

GCF(48875,48895) = 5

We will now calculate the prime factors of 48875 and 48895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48875 and 48895.

How to find the GCF of 48875 and 48895?

We will first find the prime factorization of 48875 and 48895. After we will calculate the factors of 48875 and 48895 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 48895

Prime factors of 48895 are 5, 7, 11, 127. Prime factorization of 48895 in exponential form is:

48895 = 5¹ × 7¹ × 11¹ × 127¹

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 48895

List of positive integer factors of 48895 that divides 48875 without a remainder.

1, 5, 7, 11, 35, 55, 77, 127, 385, 635, 889, 1397, 4445, 6985, 9779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48875 and 48895. The biggest common factor number is the GCF number.
So the greatest common factor 48875 and 48895 is 5.

Also check out the Least Common Multiple of 48875 and 48895