What is the Greatest Common Factor of 27076 and 27090?

Greatest common factor (GCF) of 27076 and 27090 is 14.

GCF(27076,27090) = 14

We will now calculate the prime factors of 27076 and 27090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27076 and 27090.

How to find the GCF of 27076 and 27090?

We will first find the prime factorization of 27076 and 27090. After we will calculate the factors of 27076 and 27090 and find the biggest common factor number .

Step-1: Prime Factorization of 27076

Prime factors of 27076 are 2, 7, 967. Prime factorization of 27076 in exponential form is:

27076 = 2² × 7¹ × 967¹

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 27076

List of positive integer factors of 27076 that divides 27076 without a remainder.

1, 2, 4, 7, 14, 28, 967, 1934, 3868, 6769, 13538

Step-4: Factors of 27090

List of positive integer factors of 27090 that divides 27076 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 27076 and 27090. The biggest common factor number is the GCF number.
So the greatest common factor 27076 and 27090 is 14.

Also check out the Least Common Multiple of 27076 and 27090