What is the Greatest Common Factor of 27536 and 27542?

Greatest common factor (GCF) of 27536 and 27542 is 2.

GCF(27536,27542) = 2

We will now calculate the prime factors of 27536 and 27542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27536 and 27542.

How to find the GCF of 27536 and 27542?

We will first find the prime factorization of 27536 and 27542. After we will calculate the factors of 27536 and 27542 and find the biggest common factor number .

Step-1: Prime Factorization of 27536

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

27536 = 2⁴ × 1721¹

Step-2: Prime Factorization of 27542

Prime factors of 27542 are 2, 47, 293. Prime factorization of 27542 in exponential form is:

27542 = 2¹ × 47¹ × 293¹

Step-3: Factors of 27536

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

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

Step-4: Factors of 27542

List of positive integer factors of 27542 that divides 27536 without a remainder.

1, 2, 47, 94, 293, 586, 13771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27536 and 27542. The biggest common factor number is the GCF number.
So the greatest common factor 27536 and 27542 is 2.

Also check out the Least Common Multiple of 27536 and 27542