What is the Greatest Common Factor of 27504 and 27520?

Greatest common factor (GCF) of 27504 and 27520 is 16.

GCF(27504,27520) = 16

We will now calculate the prime factors of 27504 and 27520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27504 and 27520.

How to find the GCF of 27504 and 27520?

We will first find the prime factorization of 27504 and 27520. After we will calculate the factors of 27504 and 27520 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 27520

Prime factors of 27520 are 2, 5, 43. Prime factorization of 27520 in exponential form is:

27520 = 2⁷ × 5¹ × 43¹

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 27520

List of positive integer factors of 27520 that divides 27504 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 128, 160, 172, 215, 320, 344, 430, 640, 688, 860, 1376, 1720, 2752, 3440, 5504, 6880, 13760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27504 and 27520. The biggest common factor number is the GCF number.
So the greatest common factor 27504 and 27520 is 16.

Also check out the Least Common Multiple of 27504 and 27520