What is the Greatest Common Factor of 53775 and 53795?

Greatest common factor (GCF) of 53775 and 53795 is 5.

GCF(53775,53795) = 5

We will now calculate the prime factors of 53775 and 53795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53775 and 53795.

How to find the GCF of 53775 and 53795?

We will first find the prime factorization of 53775 and 53795. After we will calculate the factors of 53775 and 53795 and find the biggest common factor number .

Step-1: Prime Factorization of 53775

Prime factors of 53775 are 3, 5, 239. Prime factorization of 53775 in exponential form is:

53775 = 3² × 5² × 239¹

Step-2: Prime Factorization of 53795

Prime factors of 53795 are 5, 7, 29, 53. Prime factorization of 53795 in exponential form is:

53795 = 5¹ × 7¹ × 29¹ × 53¹

Step-3: Factors of 53775

List of positive integer factors of 53775 that divides 53775 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 239, 717, 1195, 2151, 3585, 5975, 10755, 17925

Step-4: Factors of 53795

List of positive integer factors of 53795 that divides 53775 without a remainder.

1, 5, 7, 29, 35, 53, 145, 203, 265, 371, 1015, 1537, 1855, 7685, 10759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53775 and 53795. The biggest common factor number is the GCF number.
So the greatest common factor 53775 and 53795 is 5.

Also check out the Least Common Multiple of 53775 and 53795