What is the Greatest Common Factor of 53875 and 53895?

Greatest common factor (GCF) of 53875 and 53895 is 5.

GCF(53875,53895) = 5

We will now calculate the prime factors of 53875 and 53895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53875 and 53895.

How to find the GCF of 53875 and 53895?

We will first find the prime factorization of 53875 and 53895. After we will calculate the factors of 53875 and 53895 and find the biggest common factor number .

Step-1: Prime Factorization of 53875

Prime factors of 53875 are 5, 431. Prime factorization of 53875 in exponential form is:

53875 = 5³ × 431¹

Step-2: Prime Factorization of 53895

Prime factors of 53895 are 3, 5, 3593. Prime factorization of 53895 in exponential form is:

53895 = 3¹ × 5¹ × 3593¹

Step-3: Factors of 53875

List of positive integer factors of 53875 that divides 53875 without a remainder.

1, 5, 25, 125, 431, 2155, 10775

Step-4: Factors of 53895

List of positive integer factors of 53895 that divides 53875 without a remainder.

1, 3, 5, 15, 3593, 10779, 17965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53875 and 53895. The biggest common factor number is the GCF number.
So the greatest common factor 53875 and 53895 is 5.

Also check out the Least Common Multiple of 53875 and 53895