What is the Greatest Common Factor of 61509 and 61518?

Greatest common factor (GCF) of 61509 and 61518 is 3.

GCF(61509,61518) = 3

We will now calculate the prime factors of 61509 and 61518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61509 and 61518.

How to find the GCF of 61509 and 61518?

We will first find the prime factorization of 61509 and 61518. After we will calculate the factors of 61509 and 61518 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61518

Prime factors of 61518 are 2, 3, 10253. Prime factorization of 61518 in exponential form is:

61518 = 2¹ × 3¹ × 10253¹

Step-3: Factors of 61509

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

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

Step-4: Factors of 61518

List of positive integer factors of 61518 that divides 61509 without a remainder.

1, 2, 3, 6, 10253, 20506, 30759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61509 and 61518. The biggest common factor number is the GCF number.
So the greatest common factor 61509 and 61518 is 3.

Also check out the Least Common Multiple of 61509 and 61518