What is the Greatest Common Factor of 27072 and 27090?

Greatest common factor (GCF) of 27072 and 27090 is 18.

GCF(27072,27090) = 18

We will now calculate the prime factors of 27072 and 27090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27072 and 27090.

How to find the GCF of 27072 and 27090?

We will first find the prime factorization of 27072 and 27090. After we will calculate the factors of 27072 and 27090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27090

Prime factors of 27090 are 2, 3, 5, 7, 43. Prime factorization of 27090 in exponential form is:

27090 = 2¹ × 3² × 5¹ × 7¹ × 43¹

Step-3: Factors of 27072

List of positive integer factors of 27072 that divides 27072 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

Step-4: Factors of 27090

List of positive integer factors of 27090 that divides 27072 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 43, 45, 63, 70, 86, 90, 105, 126, 129, 210, 215, 258, 301, 315, 387, 430, 602, 630, 645, 774, 903, 1290, 1505, 1806, 1935, 2709, 3010, 3870, 4515, 5418, 9030, 13545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27072 and 27090. The biggest common factor number is the GCF number.
So the greatest common factor 27072 and 27090 is 18.

Also check out the Least Common Multiple of 27072 and 27090