What is the Greatest Common Factor of 64540 and 64560?

Greatest common factor (GCF) of 64540 and 64560 is 20.

GCF(64540,64560) = 20

We will now calculate the prime factors of 64540 and 64560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64540 and 64560.

How to find the GCF of 64540 and 64560?

We will first find the prime factorization of 64540 and 64560. After we will calculate the factors of 64540 and 64560 and find the biggest common factor number .

Step-1: Prime Factorization of 64540

Prime factors of 64540 are 2, 5, 7, 461. Prime factorization of 64540 in exponential form is:

64540 = 2² × 5¹ × 7¹ × 461¹

Step-2: 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-3: Factors of 64540

List of positive integer factors of 64540 that divides 64540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 461, 922, 1844, 2305, 3227, 4610, 6454, 9220, 12908, 16135, 32270

Step-4: Factors of 64560

List of positive integer factors of 64560 that divides 64540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64540 and 64560. The biggest common factor number is the GCF number.
So the greatest common factor 64540 and 64560 is 20.

Also check out the Least Common Multiple of 64540 and 64560