What is the Greatest Common Factor of 64560 and 64566?

Greatest common factor (GCF) of 64560 and 64566 is 6.

GCF(64560,64566) = 6

We will now calculate the prime factors of 64560 and 64566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64560 and 64566.

How to find the GCF of 64560 and 64566?

We will first find the prime factorization of 64560 and 64566. After we will calculate the factors of 64560 and 64566 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 64566

Prime factors of 64566 are 2, 3, 17, 211. Prime factorization of 64566 in exponential form is:

64566 = 2¹ × 3² × 17¹ × 211¹

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 64566

List of positive integer factors of 64566 that divides 64560 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 211, 306, 422, 633, 1266, 1899, 3587, 3798, 7174, 10761, 21522, 32283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64560 and 64566. The biggest common factor number is the GCF number.
So the greatest common factor 64560 and 64566 is 6.

Also check out the Least Common Multiple of 64560 and 64566