What is the Greatest Common Factor of 18880 and 18898?

Greatest common factor (GCF) of 18880 and 18898 is 2.

GCF(18880,18898) = 2

We will now calculate the prime factors of 18880 and 18898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18880 and 18898.

How to find the GCF of 18880 and 18898?

We will first find the prime factorization of 18880 and 18898. After we will calculate the factors of 18880 and 18898 and find the biggest common factor number .

Step-1: Prime Factorization of 18880

Prime factors of 18880 are 2, 5, 59. Prime factorization of 18880 in exponential form is:

18880 = 2⁶ × 5¹ × 59¹

Step-2: Prime Factorization of 18898

Prime factors of 18898 are 2, 11, 859. Prime factorization of 18898 in exponential form is:

18898 = 2¹ × 11¹ × 859¹

Step-3: Factors of 18880

List of positive integer factors of 18880 that divides 18880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 64, 80, 118, 160, 236, 295, 320, 472, 590, 944, 1180, 1888, 2360, 3776, 4720, 9440

Step-4: Factors of 18898

List of positive integer factors of 18898 that divides 18880 without a remainder.

1, 2, 11, 22, 859, 1718, 9449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18880 and 18898. The biggest common factor number is the GCF number.
So the greatest common factor 18880 and 18898 is 2.

Also check out the Least Common Multiple of 18880 and 18898