What is the Greatest Common Factor of 53055 and 53075?

Greatest common factor (GCF) of 53055 and 53075 is 5.

GCF(53055,53075) = 5

We will now calculate the prime factors of 53055 and 53075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53055 and 53075.

How to find the GCF of 53055 and 53075?

We will first find the prime factorization of 53055 and 53075. After we will calculate the factors of 53055 and 53075 and find the biggest common factor number .

Step-1: Prime Factorization of 53055

Prime factors of 53055 are 3, 5, 131. Prime factorization of 53055 in exponential form is:

53055 = 3⁴ × 5¹ × 131¹

Step-2: Prime Factorization of 53075

Prime factors of 53075 are 5, 11, 193. Prime factorization of 53075 in exponential form is:

53075 = 5² × 11¹ × 193¹

Step-3: Factors of 53055

List of positive integer factors of 53055 that divides 53055 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 131, 135, 393, 405, 655, 1179, 1965, 3537, 5895, 10611, 17685

Step-4: Factors of 53075

List of positive integer factors of 53075 that divides 53055 without a remainder.

1, 5, 11, 25, 55, 193, 275, 965, 2123, 4825, 10615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53055 and 53075. The biggest common factor number is the GCF number.
So the greatest common factor 53055 and 53075 is 5.

Also check out the Least Common Multiple of 53055 and 53075