What is the Greatest Common Factor of 66560 and 66575?

Greatest common factor (GCF) of 66560 and 66575 is 5.

GCF(66560,66575) = 5

We will now calculate the prime factors of 66560 and 66575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66560 and 66575.

How to find the GCF of 66560 and 66575?

We will first find the prime factorization of 66560 and 66575. After we will calculate the factors of 66560 and 66575 and find the biggest common factor number .

Step-1: Prime Factorization of 66560

Prime factors of 66560 are 2, 5, 13. Prime factorization of 66560 in exponential form is:

66560 = 2¹⁰ × 5¹ × 13¹

Step-2: Prime Factorization of 66575

Prime factors of 66575 are 5, 2663. Prime factorization of 66575 in exponential form is:

66575 = 5² × 2663¹

Step-3: Factors of 66560

List of positive integer factors of 66560 that divides 66560 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 256, 260, 320, 416, 512, 520, 640, 832, 1024, 1040, 1280, 1664, 2080, 2560, 3328, 4160, 5120, 6656, 8320, 13312, 16640, 33280

Step-4: Factors of 66575

List of positive integer factors of 66575 that divides 66560 without a remainder.

1, 5, 25, 2663, 13315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66560 and 66575. The biggest common factor number is the GCF number.
So the greatest common factor 66560 and 66575 is 5.

Also check out the Least Common Multiple of 66560 and 66575