What is the Greatest Common Factor of 27504 and 27514?

Greatest common factor (GCF) of 27504 and 27514 is 2.

GCF(27504,27514) = 2

We will now calculate the prime factors of 27504 and 27514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27504 and 27514.

How to find the GCF of 27504 and 27514?

We will first find the prime factorization of 27504 and 27514. After we will calculate the factors of 27504 and 27514 and find the biggest common factor number .

Step-1: Prime Factorization of 27504

Prime factors of 27504 are 2, 3, 191. Prime factorization of 27504 in exponential form is:

27504 = 2⁴ × 3² × 191¹

Step-2: Prime Factorization of 27514

Prime factors of 27514 are 2, 13757. Prime factorization of 27514 in exponential form is:

27514 = 2¹ × 13757¹

Step-3: Factors of 27504

List of positive integer factors of 27504 that divides 27504 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 191, 382, 573, 764, 1146, 1528, 1719, 2292, 3056, 3438, 4584, 6876, 9168, 13752

Step-4: Factors of 27514

List of positive integer factors of 27514 that divides 27504 without a remainder.

1, 2, 13757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27504 and 27514. The biggest common factor number is the GCF number.
So the greatest common factor 27504 and 27514 is 2.

Also check out the Least Common Multiple of 27504 and 27514