What is the Greatest Common Factor of 18880 and 18890?

Greatest common factor (GCF) of 18880 and 18890 is 10.

GCF(18880,18890) = 10

We will now calculate the prime factors of 18880 and 18890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18880 and 18890.

How to find the GCF of 18880 and 18890?

We will first find the prime factorization of 18880 and 18890. After we will calculate the factors of 18880 and 18890 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 18890

Prime factors of 18890 are 2, 5, 1889. Prime factorization of 18890 in exponential form is:

18890 = 2¹ × 5¹ × 1889¹

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 18890

List of positive integer factors of 18890 that divides 18880 without a remainder.

1, 2, 5, 10, 1889, 3778, 9445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18880 and 18890. The biggest common factor number is the GCF number.
So the greatest common factor 18880 and 18890 is 10.

Also check out the Least Common Multiple of 18880 and 18890