What is the Greatest Common Factor of 20665 and 20680?

Greatest common factor (GCF) of 20665 and 20680 is 5.

GCF(20665,20680) = 5

We will now calculate the prime factors of 20665 and 20680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20665 and 20680.

How to find the GCF of 20665 and 20680?

We will first find the prime factorization of 20665 and 20680. After we will calculate the factors of 20665 and 20680 and find the biggest common factor number .

Step-1: Prime Factorization of 20665

Prime factors of 20665 are 5, 4133. Prime factorization of 20665 in exponential form is:

20665 = 5¹ × 4133¹

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 20665

List of positive integer factors of 20665 that divides 20665 without a remainder.

1, 5, 4133

Step-4: Factors of 20680

List of positive integer factors of 20680 that divides 20665 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 20665 and 20680. The biggest common factor number is the GCF number.
So the greatest common factor 20665 and 20680 is 5.

Also check out the Least Common Multiple of 20665 and 20680