What is the Greatest Common Factor of 53505 and 53509?

Greatest common factor (GCF) of 53505 and 53509 is 1.

GCF(53505,53509) = 1

We will now calculate the prime factors of 53505 and 53509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53505 and 53509.

How to find the GCF of 53505 and 53509?

We will first find the prime factorization of 53505 and 53509. After we will calculate the factors of 53505 and 53509 and find the biggest common factor number .

Step-1: Prime Factorization of 53505

Prime factors of 53505 are 3, 5, 29, 41. Prime factorization of 53505 in exponential form is:

53505 = 3² × 5¹ × 29¹ × 41¹

Step-2: Prime Factorization of 53509

Prime factors of 53509 are 73, 733. Prime factorization of 53509 in exponential form is:

53509 = 73¹ × 733¹

Step-3: Factors of 53505

List of positive integer factors of 53505 that divides 53505 without a remainder.

1, 3, 5, 9, 15, 29, 41, 45, 87, 123, 145, 205, 261, 369, 435, 615, 1189, 1305, 1845, 3567, 5945, 10701, 17835

Step-4: Factors of 53509

List of positive integer factors of 53509 that divides 53505 without a remainder.

1, 73, 733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53505 and 53509. The biggest common factor number is the GCF number.
So the greatest common factor 53505 and 53509 is 1.

Also check out the Least Common Multiple of 53505 and 53509