What is the Greatest Common Factor of 27552 and 27568?

Greatest common factor (GCF) of 27552 and 27568 is 16.

GCF(27552,27568) = 16

We will now calculate the prime factors of 27552 and 27568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27552 and 27568.

How to find the GCF of 27552 and 27568?

We will first find the prime factorization of 27552 and 27568. After we will calculate the factors of 27552 and 27568 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 27568

Prime factors of 27568 are 2, 1723. Prime factorization of 27568 in exponential form is:

27568 = 2⁴ × 1723¹

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 27568

List of positive integer factors of 27568 that divides 27552 without a remainder.

1, 2, 4, 8, 16, 1723, 3446, 6892, 13784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27552 and 27568. The biggest common factor number is the GCF number.
So the greatest common factor 27552 and 27568 is 16.

Also check out the Least Common Multiple of 27552 and 27568