What is the Greatest Common Factor of 27090 and 27100?

Greatest common factor (GCF) of 27090 and 27100 is 10.

GCF(27090,27100) = 10

We will now calculate the prime factors of 27090 and 27100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27090 and 27100.

How to find the GCF of 27090 and 27100?

We will first find the prime factorization of 27090 and 27100. After we will calculate the factors of 27090 and 27100 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27100

Prime factors of 27100 are 2, 5, 271. Prime factorization of 27100 in exponential form is:

27100 = 2² × 5² × 271¹

Step-3: Factors of 27090

List of positive integer factors of 27090 that divides 27090 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

Step-4: Factors of 27100

List of positive integer factors of 27100 that divides 27090 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 271, 542, 1084, 1355, 2710, 5420, 6775, 13550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27090 and 27100. The biggest common factor number is the GCF number.
So the greatest common factor 27090 and 27100 is 10.

Also check out the Least Common Multiple of 27090 and 27100