What is the Greatest Common Factor of 65504 and 65509?

Greatest common factor (GCF) of 65504 and 65509 is 1.

GCF(65504,65509) = 1

We will now calculate the prime factors of 65504 and 65509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65504 and 65509.

How to find the GCF of 65504 and 65509?

We will first find the prime factorization of 65504 and 65509. After we will calculate the factors of 65504 and 65509 and find the biggest common factor number .

Step-1: Prime Factorization of 65504

Prime factors of 65504 are 2, 23, 89. Prime factorization of 65504 in exponential form is:

65504 = 2⁵ × 23¹ × 89¹

Step-2: Prime Factorization of 65509

Prime factors of 65509 are 109, 601. Prime factorization of 65509 in exponential form is:

65509 = 109¹ × 601¹

Step-3: Factors of 65504

List of positive integer factors of 65504 that divides 65504 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 89, 92, 178, 184, 356, 368, 712, 736, 1424, 2047, 2848, 4094, 8188, 16376, 32752

Step-4: Factors of 65509

List of positive integer factors of 65509 that divides 65504 without a remainder.

1, 109, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65504 and 65509. The biggest common factor number is the GCF number.
So the greatest common factor 65504 and 65509 is 1.

Also check out the Least Common Multiple of 65504 and 65509