What is the Greatest Common Factor of 27522 and 27532?

Greatest common factor (GCF) of 27522 and 27532 is 2.

GCF(27522,27532) = 2

We will now calculate the prime factors of 27522 and 27532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27522 and 27532.

How to find the GCF of 27522 and 27532?

We will first find the prime factorization of 27522 and 27532. After we will calculate the factors of 27522 and 27532 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 27532

Prime factors of 27532 are 2, 6883. Prime factorization of 27532 in exponential form is:

27532 = 2² × 6883¹

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 27532

List of positive integer factors of 27532 that divides 27522 without a remainder.

1, 2, 4, 6883, 13766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27522 and 27532. The biggest common factor number is the GCF number.
So the greatest common factor 27522 and 27532 is 2.

Also check out the Least Common Multiple of 27522 and 27532