What is the Greatest Common Factor of 66560 and 66568?

Greatest common factor (GCF) of 66560 and 66568 is 8.

GCF(66560,66568) = 8

We will now calculate the prime factors of 66560 and 66568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66560 and 66568.

How to find the GCF of 66560 and 66568?

We will first find the prime factorization of 66560 and 66568. After we will calculate the factors of 66560 and 66568 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 66568

Prime factors of 66568 are 2, 53, 157. Prime factorization of 66568 in exponential form is:

66568 = 2³ × 53¹ × 157¹

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 66568

List of positive integer factors of 66568 that divides 66560 without a remainder.

1, 2, 4, 8, 53, 106, 157, 212, 314, 424, 628, 1256, 8321, 16642, 33284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66560 and 66568. The biggest common factor number is the GCF number.
So the greatest common factor 66560 and 66568 is 8.

Also check out the Least Common Multiple of 66560 and 66568