What is the Greatest Common Factor of 66256 and 66272?

Greatest common factor (GCF) of 66256 and 66272 is 16.

GCF(66256,66272) = 16

We will now calculate the prime factors of 66256 and 66272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66256 and 66272.

How to find the GCF of 66256 and 66272?

We will first find the prime factorization of 66256 and 66272. After we will calculate the factors of 66256 and 66272 and find the biggest common factor number .

Step-1: Prime Factorization of 66256

Prime factors of 66256 are 2, 41, 101. Prime factorization of 66256 in exponential form is:

66256 = 2⁴ × 41¹ × 101¹

Step-2: Prime Factorization of 66272

Prime factors of 66272 are 2, 19, 109. Prime factorization of 66272 in exponential form is:

66272 = 2⁵ × 19¹ × 109¹

Step-3: Factors of 66256

List of positive integer factors of 66256 that divides 66256 without a remainder.

1, 2, 4, 8, 16, 41, 82, 101, 164, 202, 328, 404, 656, 808, 1616, 4141, 8282, 16564, 33128

Step-4: Factors of 66272

List of positive integer factors of 66272 that divides 66256 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 109, 152, 218, 304, 436, 608, 872, 1744, 2071, 3488, 4142, 8284, 16568, 33136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66256 and 66272. The biggest common factor number is the GCF number.
So the greatest common factor 66256 and 66272 is 16.

Also check out the Least Common Multiple of 66256 and 66272