What is the Greatest Common Factor of 18920 and 18931?

Greatest common factor (GCF) of 18920 and 18931 is 11.

GCF(18920,18931) = 11

We will now calculate the prime factors of 18920 and 18931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18920 and 18931.

How to find the GCF of 18920 and 18931?

We will first find the prime factorization of 18920 and 18931. After we will calculate the factors of 18920 and 18931 and find the biggest common factor number .

Step-1: Prime Factorization of 18920

Prime factors of 18920 are 2, 5, 11, 43. Prime factorization of 18920 in exponential form is:

18920 = 2³ × 5¹ × 11¹ × 43¹

Step-2: Prime Factorization of 18931

Prime factors of 18931 are 11, 1721. Prime factorization of 18931 in exponential form is:

18931 = 11¹ × 1721¹

Step-3: Factors of 18920

List of positive integer factors of 18920 that divides 18920 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 43, 44, 55, 86, 88, 110, 172, 215, 220, 344, 430, 440, 473, 860, 946, 1720, 1892, 2365, 3784, 4730, 9460

Step-4: Factors of 18931

List of positive integer factors of 18931 that divides 18920 without a remainder.

1, 11, 1721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18920 and 18931. The biggest common factor number is the GCF number.
So the greatest common factor 18920 and 18931 is 11.

Also check out the Least Common Multiple of 18920 and 18931