What is the Greatest Common Factor of 27054 and 27072?

Greatest common factor (GCF) of 27054 and 27072 is 18.

GCF(27054,27072) = 18

We will now calculate the prime factors of 27054 and 27072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27054 and 27072.

How to find the GCF of 27054 and 27072?

We will first find the prime factorization of 27054 and 27072. After we will calculate the factors of 27054 and 27072 and find the biggest common factor number .

Step-1: Prime Factorization of 27054

Prime factors of 27054 are 2, 3, 167. Prime factorization of 27054 in exponential form is:

27054 = 2¹ × 3⁴ × 167¹

Step-2: Prime Factorization of 27072

Prime factors of 27072 are 2, 3, 47. Prime factorization of 27072 in exponential form is:

27072 = 2⁶ × 3² × 47¹

Step-3: Factors of 27054

List of positive integer factors of 27054 that divides 27054 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 167, 334, 501, 1002, 1503, 3006, 4509, 9018, 13527

Step-4: Factors of 27072

List of positive integer factors of 27072 that divides 27054 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 47, 48, 64, 72, 94, 96, 141, 144, 188, 192, 282, 288, 376, 423, 564, 576, 752, 846, 1128, 1504, 1692, 2256, 3008, 3384, 4512, 6768, 9024, 13536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27054 and 27072. The biggest common factor number is the GCF number.
So the greatest common factor 27054 and 27072 is 18.

Also check out the Least Common Multiple of 27054 and 27072