What is the Greatest Common Factor of 64560 and 64565?

Greatest common factor (GCF) of 64560 and 64565 is 5.

GCF(64560,64565) = 5

We will now calculate the prime factors of 64560 and 64565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64560 and 64565.

How to find the GCF of 64560 and 64565?

We will first find the prime factorization of 64560 and 64565. After we will calculate the factors of 64560 and 64565 and find the biggest common factor number .

Step-1: Prime Factorization of 64560

Prime factors of 64560 are 2, 3, 5, 269. Prime factorization of 64560 in exponential form is:

64560 = 2⁴ × 3¹ × 5¹ × 269¹

Step-2: Prime Factorization of 64565

Prime factors of 64565 are 5, 37, 349. Prime factorization of 64565 in exponential form is:

64565 = 5¹ × 37¹ × 349¹

Step-3: Factors of 64560

List of positive integer factors of 64560 that divides 64560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 269, 538, 807, 1076, 1345, 1614, 2152, 2690, 3228, 4035, 4304, 5380, 6456, 8070, 10760, 12912, 16140, 21520, 32280

Step-4: Factors of 64565

List of positive integer factors of 64565 that divides 64560 without a remainder.

1, 5, 37, 185, 349, 1745, 12913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64560 and 64565. The biggest common factor number is the GCF number.
So the greatest common factor 64560 and 64565 is 5.

Also check out the Least Common Multiple of 64560 and 64565