What is the Greatest Common Factor of 27280 and 27286?

Greatest common factor (GCF) of 27280 and 27286 is 2.

GCF(27280,27286) = 2

We will now calculate the prime factors of 27280 and 27286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27280 and 27286.

How to find the GCF of 27280 and 27286?

We will first find the prime factorization of 27280 and 27286. After we will calculate the factors of 27280 and 27286 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27286

Prime factors of 27286 are 2, 7, 1949. Prime factorization of 27286 in exponential form is:

27286 = 2¹ × 7¹ × 1949¹

Step-3: Factors of 27280

List of positive integer factors of 27280 that divides 27280 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

Step-4: Factors of 27286

List of positive integer factors of 27286 that divides 27280 without a remainder.

1, 2, 7, 14, 1949, 3898, 13643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27280 and 27286. The biggest common factor number is the GCF number.
So the greatest common factor 27280 and 27286 is 2.

Also check out the Least Common Multiple of 27280 and 27286