What is the Greatest Common Factor of 27552 and 27559?

Greatest common factor (GCF) of 27552 and 27559 is 7.

GCF(27552,27559) = 7

We will now calculate the prime factors of 27552 and 27559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27552 and 27559.

How to find the GCF of 27552 and 27559?

We will first find the prime factorization of 27552 and 27559. After we will calculate the factors of 27552 and 27559 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 27559

Prime factors of 27559 are 7, 31, 127. Prime factorization of 27559 in exponential form is:

27559 = 7¹ × 31¹ × 127¹

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 27559

List of positive integer factors of 27559 that divides 27552 without a remainder.

1, 7, 31, 127, 217, 889, 3937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27552 and 27559. The biggest common factor number is the GCF number.
So the greatest common factor 27552 and 27559 is 7.

Also check out the Least Common Multiple of 27552 and 27559