What is the Greatest Common Factor of 27552 and 27566?

Greatest common factor (GCF) of 27552 and 27566 is 14.

GCF(27552,27566) = 14

We will now calculate the prime factors of 27552 and 27566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27552 and 27566.

How to find the GCF of 27552 and 27566?

We will first find the prime factorization of 27552 and 27566. After we will calculate the factors of 27552 and 27566 and find the biggest common factor number .

Step-1: Prime Factorization of 27552

Prime factors of 27552 are 2, 3, 7, 41. Prime factorization of 27552 in exponential form is:

27552 = 2⁵ × 3¹ × 7¹ × 41¹

Step-2: Prime Factorization of 27566

Prime factors of 27566 are 2, 7, 11, 179. Prime factorization of 27566 in exponential form is:

27566 = 2¹ × 7¹ × 11¹ × 179¹

Step-3: Factors of 27552

List of positive integer factors of 27552 that divides 27552 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 41, 42, 48, 56, 82, 84, 96, 112, 123, 164, 168, 224, 246, 287, 328, 336, 492, 574, 656, 672, 861, 984, 1148, 1312, 1722, 1968, 2296, 3444, 3936, 4592, 6888, 9184, 13776

Step-4: Factors of 27566

List of positive integer factors of 27566 that divides 27552 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 179, 358, 1253, 1969, 2506, 3938, 13783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27552 and 27566. The biggest common factor number is the GCF number.
So the greatest common factor 27552 and 27566 is 14.

Also check out the Least Common Multiple of 27552 and 27566