What is the Greatest Common Factor of 53305 and 53325?

Greatest common factor (GCF) of 53305 and 53325 is 5.

GCF(53305,53325) = 5

We will now calculate the prime factors of 53305 and 53325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53305 and 53325.

How to find the GCF of 53305 and 53325?

We will first find the prime factorization of 53305 and 53325. After we will calculate the factors of 53305 and 53325 and find the biggest common factor number .

Step-1: Prime Factorization of 53305

Prime factors of 53305 are 5, 7, 1523. Prime factorization of 53305 in exponential form is:

53305 = 5¹ × 7¹ × 1523¹

Step-2: Prime Factorization of 53325

Prime factors of 53325 are 3, 5, 79. Prime factorization of 53325 in exponential form is:

53325 = 3³ × 5² × 79¹

Step-3: Factors of 53305

List of positive integer factors of 53305 that divides 53305 without a remainder.

1, 5, 7, 35, 1523, 7615, 10661

Step-4: Factors of 53325

List of positive integer factors of 53325 that divides 53305 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 79, 135, 225, 237, 395, 675, 711, 1185, 1975, 2133, 3555, 5925, 10665, 17775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53305 and 53325. The biggest common factor number is the GCF number.
So the greatest common factor 53305 and 53325 is 5.

Also check out the Least Common Multiple of 53305 and 53325