What is the Greatest Common Factor of 27544 and 27562?

Greatest common factor (GCF) of 27544 and 27562 is 2.

GCF(27544,27562) = 2

We will now calculate the prime factors of 27544 and 27562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27544 and 27562.

How to find the GCF of 27544 and 27562?

We will first find the prime factorization of 27544 and 27562. After we will calculate the factors of 27544 and 27562 and find the biggest common factor number .

Step-1: Prime Factorization of 27544

Prime factors of 27544 are 2, 11, 313. Prime factorization of 27544 in exponential form is:

27544 = 2³ × 11¹ × 313¹

Step-2: Prime Factorization of 27562

Prime factors of 27562 are 2, 13781. Prime factorization of 27562 in exponential form is:

27562 = 2¹ × 13781¹

Step-3: Factors of 27544

List of positive integer factors of 27544 that divides 27544 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 313, 626, 1252, 2504, 3443, 6886, 13772

Step-4: Factors of 27562

List of positive integer factors of 27562 that divides 27544 without a remainder.

1, 2, 13781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27544 and 27562. The biggest common factor number is the GCF number.
So the greatest common factor 27544 and 27562 is 2.

Also check out the Least Common Multiple of 27544 and 27562