What is the Greatest Common Factor of 27270 and 27280?

Greatest common factor (GCF) of 27270 and 27280 is 10.

GCF(27270,27280) = 10

We will now calculate the prime factors of 27270 and 27280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27270 and 27280.

How to find the GCF of 27270 and 27280?

We will first find the prime factorization of 27270 and 27280. After we will calculate the factors of 27270 and 27280 and find the biggest common factor number .

Step-1: Prime Factorization of 27270

Prime factors of 27270 are 2, 3, 5, 101. Prime factorization of 27270 in exponential form is:

27270 = 2¹ × 3³ × 5¹ × 101¹

Step-2: Prime Factorization of 27280

Prime factors of 27280 are 2, 5, 11, 31. Prime factorization of 27280 in exponential form is:

27280 = 2⁴ × 5¹ × 11¹ × 31¹

Step-3: Factors of 27270

List of positive integer factors of 27270 that divides 27270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 101, 135, 202, 270, 303, 505, 606, 909, 1010, 1515, 1818, 2727, 3030, 4545, 5454, 9090, 13635

Step-4: Factors of 27280

List of positive integer factors of 27280 that divides 27270 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 40, 44, 55, 62, 80, 88, 110, 124, 155, 176, 220, 248, 310, 341, 440, 496, 620, 682, 880, 1240, 1364, 1705, 2480, 2728, 3410, 5456, 6820, 13640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27270 and 27280. The biggest common factor number is the GCF number.
So the greatest common factor 27270 and 27280 is 10.

Also check out the Least Common Multiple of 27270 and 27280