What is the Greatest Common Factor of 20684 and 20700?

Greatest common factor (GCF) of 20684 and 20700 is 4.

GCF(20684,20700) = 4

We will now calculate the prime factors of 20684 and 20700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20684 and 20700.

How to find the GCF of 20684 and 20700?

We will first find the prime factorization of 20684 and 20700. After we will calculate the factors of 20684 and 20700 and find the biggest common factor number .

Step-1: Prime Factorization of 20684

Prime factors of 20684 are 2, 5171. Prime factorization of 20684 in exponential form is:

20684 = 2² × 5171¹

Step-2: Prime Factorization of 20700

Prime factors of 20700 are 2, 3, 5, 23. Prime factorization of 20700 in exponential form is:

20700 = 2² × 3² × 5² × 23¹

Step-3: Factors of 20684

List of positive integer factors of 20684 that divides 20684 without a remainder.

1, 2, 4, 5171, 10342

Step-4: Factors of 20700

List of positive integer factors of 20700 that divides 20684 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 25, 30, 36, 45, 46, 50, 60, 69, 75, 90, 92, 100, 115, 138, 150, 180, 207, 225, 230, 276, 300, 345, 414, 450, 460, 575, 690, 828, 900, 1035, 1150, 1380, 1725, 2070, 2300, 3450, 4140, 5175, 6900, 10350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20684 and 20700. The biggest common factor number is the GCF number.
So the greatest common factor 20684 and 20700 is 4.

Also check out the Least Common Multiple of 20684 and 20700