What is the Greatest Common Factor of 27880 and 27890?

Greatest common factor (GCF) of 27880 and 27890 is 10.

GCF(27880,27890) = 10

We will now calculate the prime factors of 27880 and 27890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27880 and 27890.

How to find the GCF of 27880 and 27890?

We will first find the prime factorization of 27880 and 27890. After we will calculate the factors of 27880 and 27890 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27890

Prime factors of 27890 are 2, 5, 2789. Prime factorization of 27890 in exponential form is:

27890 = 2¹ × 5¹ × 2789¹

Step-3: Factors of 27880

List of positive integer factors of 27880 that divides 27880 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

Step-4: Factors of 27890

List of positive integer factors of 27890 that divides 27880 without a remainder.

1, 2, 5, 10, 2789, 5578, 13945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27880 and 27890. The biggest common factor number is the GCF number.
So the greatest common factor 27880 and 27890 is 10.

Also check out the Least Common Multiple of 27880 and 27890