What is the Greatest Common Factor of 61505 and 61509?

Greatest common factor (GCF) of 61505 and 61509 is 1.

GCF(61505,61509) = 1

We will now calculate the prime factors of 61505 and 61509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61505 and 61509.

How to find the GCF of 61505 and 61509?

We will first find the prime factorization of 61505 and 61509. After we will calculate the factors of 61505 and 61509 and find the biggest common factor number .

Step-1: Prime Factorization of 61505

Prime factors of 61505 are 5, 12301. Prime factorization of 61505 in exponential form is:

61505 = 5¹ × 12301¹

Step-2: Prime Factorization of 61509

Prime factors of 61509 are 3, 7, 29, 101. Prime factorization of 61509 in exponential form is:

61509 = 3¹ × 7¹ × 29¹ × 101¹

Step-3: Factors of 61505

List of positive integer factors of 61505 that divides 61505 without a remainder.

1, 5, 12301

Step-4: Factors of 61509

List of positive integer factors of 61509 that divides 61505 without a remainder.

1, 3, 7, 21, 29, 87, 101, 203, 303, 609, 707, 2121, 2929, 8787, 20503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61505 and 61509. The biggest common factor number is the GCF number.
So the greatest common factor 61505 and 61509 is 1.

Also check out the Least Common Multiple of 61505 and 61509