What is the Greatest Common Factor of 27522 and 27536?

Greatest common factor (GCF) of 27522 and 27536 is 2.

GCF(27522,27536) = 2

We will now calculate the prime factors of 27522 and 27536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27522 and 27536.

How to find the GCF of 27522 and 27536?

We will first find the prime factorization of 27522 and 27536. After we will calculate the factors of 27522 and 27536 and find the biggest common factor number .

Step-1: Prime Factorization of 27522

Prime factors of 27522 are 2, 3, 11, 139. Prime factorization of 27522 in exponential form is:

27522 = 2¹ × 3² × 11¹ × 139¹

Step-2: Prime Factorization of 27536

Prime factors of 27536 are 2, 1721. Prime factorization of 27536 in exponential form is:

27536 = 2⁴ × 1721¹

Step-3: Factors of 27522

List of positive integer factors of 27522 that divides 27522 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 139, 198, 278, 417, 834, 1251, 1529, 2502, 3058, 4587, 9174, 13761

Step-4: Factors of 27536

List of positive integer factors of 27536 that divides 27522 without a remainder.

1, 2, 4, 8, 16, 1721, 3442, 6884, 13768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27522 and 27536. The biggest common factor number is the GCF number.
So the greatest common factor 27522 and 27536 is 2.

Also check out the Least Common Multiple of 27522 and 27536