What is the Greatest Common Factor of 17862 and 17880?

Greatest common factor (GCF) of 17862 and 17880 is 6.

GCF(17862,17880) = 6

We will now calculate the prime factors of 17862 and 17880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17862 and 17880.

How to find the GCF of 17862 and 17880?

We will first find the prime factorization of 17862 and 17880. After we will calculate the factors of 17862 and 17880 and find the biggest common factor number .

Step-1: Prime Factorization of 17862

Prime factors of 17862 are 2, 3, 13, 229. Prime factorization of 17862 in exponential form is:

17862 = 2¹ × 3¹ × 13¹ × 229¹

Step-2: Prime Factorization of 17880

Prime factors of 17880 are 2, 3, 5, 149. Prime factorization of 17880 in exponential form is:

17880 = 2³ × 3¹ × 5¹ × 149¹

Step-3: Factors of 17862

List of positive integer factors of 17862 that divides 17862 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 229, 458, 687, 1374, 2977, 5954, 8931

Step-4: Factors of 17880

List of positive integer factors of 17880 that divides 17862 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 149, 298, 447, 596, 745, 894, 1192, 1490, 1788, 2235, 2980, 3576, 4470, 5960, 8940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17862 and 17880. The biggest common factor number is the GCF number.
So the greatest common factor 17862 and 17880 is 6.

Also check out the Least Common Multiple of 17862 and 17880