What is the Greatest Common Factor of 27862 and 27880?

Greatest common factor (GCF) of 27862 and 27880 is 2.

GCF(27862,27880) = 2

We will now calculate the prime factors of 27862 and 27880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27862 and 27880.

How to find the GCF of 27862 and 27880?

We will first find the prime factorization of 27862 and 27880. After we will calculate the factors of 27862 and 27880 and find the biggest common factor number .

Step-1: Prime Factorization of 27862

Prime factors of 27862 are 2, 13931. Prime factorization of 27862 in exponential form is:

27862 = 2¹ × 13931¹

Step-2: Prime Factorization of 27880

Prime factors of 27880 are 2, 5, 17, 41. Prime factorization of 27880 in exponential form is:

27880 = 2³ × 5¹ × 17¹ × 41¹

Step-3: Factors of 27862

List of positive integer factors of 27862 that divides 27862 without a remainder.

1, 2, 13931

Step-4: Factors of 27880

List of positive integer factors of 27880 that divides 27862 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 41, 68, 82, 85, 136, 164, 170, 205, 328, 340, 410, 680, 697, 820, 1394, 1640, 2788, 3485, 5576, 6970, 13940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27862 and 27880. The biggest common factor number is the GCF number.
So the greatest common factor 27862 and 27880 is 2.

Also check out the Least Common Multiple of 27862 and 27880