What is the Greatest Common Factor of 27552 and 27567?

Greatest common factor (GCF) of 27552 and 27567 is 3.

GCF(27552,27567) = 3

We will now calculate the prime factors of 27552 and 27567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27552 and 27567.

How to find the GCF of 27552 and 27567?

We will first find the prime factorization of 27552 and 27567. After we will calculate the factors of 27552 and 27567 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 27567

Prime factors of 27567 are 3, 1021. Prime factorization of 27567 in exponential form is:

27567 = 3³ × 1021¹

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 27567

List of positive integer factors of 27567 that divides 27552 without a remainder.

1, 3, 9, 27, 1021, 3063, 9189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27552 and 27567. The biggest common factor number is the GCF number.
So the greatest common factor 27552 and 27567 is 3.

Also check out the Least Common Multiple of 27552 and 27567