What is the Greatest Common Factor of 38880 and 38890?

Greatest common factor (GCF) of 38880 and 38890 is 10.

GCF(38880,38890) = 10

We will now calculate the prime factors of 38880 and 38890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38880 and 38890.

How to find the GCF of 38880 and 38890?

We will first find the prime factorization of 38880 and 38890. After we will calculate the factors of 38880 and 38890 and find the biggest common factor number .

Step-1: Prime Factorization of 38880

Prime factors of 38880 are 2, 3, 5. Prime factorization of 38880 in exponential form is:

38880 = 2⁵ × 3⁵ × 5¹

Step-2: Prime Factorization of 38890

Prime factors of 38890 are 2, 5, 3889. Prime factorization of 38890 in exponential form is:

38890 = 2¹ × 5¹ × 3889¹

Step-3: Factors of 38880

List of positive integer factors of 38880 that divides 38880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 96, 108, 120, 135, 144, 160, 162, 180, 216, 240, 243, 270, 288, 324, 360, 405, 432, 480, 486, 540, 648, 720, 810, 864, 972, 1080, 1215, 1296, 1440, 1620, 1944, 2160, 2430, 2592, 3240, 3888, 4320, 4860, 6480, 7776, 9720, 12960, 19440

Step-4: Factors of 38890

List of positive integer factors of 38890 that divides 38880 without a remainder.

1, 2, 5, 10, 3889, 7778, 19445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38880 and 38890. The biggest common factor number is the GCF number.
So the greatest common factor 38880 and 38890 is 10.

Also check out the Least Common Multiple of 38880 and 38890