What is the Greatest Common Factor of 20669 and 20680?

Greatest common factor (GCF) of 20669 and 20680 is 11.

GCF(20669,20680) = 11

We will now calculate the prime factors of 20669 and 20680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20669 and 20680.

How to find the GCF of 20669 and 20680?

We will first find the prime factorization of 20669 and 20680. After we will calculate the factors of 20669 and 20680 and find the biggest common factor number .

Step-1: Prime Factorization of 20669

Prime factors of 20669 are 11, 1879. Prime factorization of 20669 in exponential form is:

20669 = 11¹ × 1879¹

Step-2: Prime Factorization of 20680

Prime factors of 20680 are 2, 5, 11, 47. Prime factorization of 20680 in exponential form is:

20680 = 2³ × 5¹ × 11¹ × 47¹

Step-3: Factors of 20669

List of positive integer factors of 20669 that divides 20669 without a remainder.

1, 11, 1879

Step-4: Factors of 20680

List of positive integer factors of 20680 that divides 20669 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 47, 55, 88, 94, 110, 188, 220, 235, 376, 440, 470, 517, 940, 1034, 1880, 2068, 2585, 4136, 5170, 10340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20669 and 20680. The biggest common factor number is the GCF number.
So the greatest common factor 20669 and 20680 is 11.

Also check out the Least Common Multiple of 20669 and 20680