What is the Greatest Common Factor of 27522 and 27541?

Greatest common factor (GCF) of 27522 and 27541 is 1.

GCF(27522,27541) = 1

We will now calculate the prime factors of 27522 and 27541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27522 and 27541.

How to find the GCF of 27522 and 27541?

We will first find the prime factorization of 27522 and 27541. After we will calculate the factors of 27522 and 27541 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 27541

Prime factors of 27541 are 27541. Prime factorization of 27541 in exponential form is:

27541 = 27541¹

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 27541

List of positive integer factors of 27541 that divides 27522 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27522 and 27541. The biggest common factor number is the GCF number.
So the greatest common factor 27522 and 27541 is 1.

Also check out the Least Common Multiple of 27522 and 27541