What is the Greatest Common Factor of 20670 and 20689?

Greatest common factor (GCF) of 20670 and 20689 is 1.

GCF(20670,20689) = 1

We will now calculate the prime factors of 20670 and 20689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20670 and 20689.

How to find the GCF of 20670 and 20689?

We will first find the prime factorization of 20670 and 20689. After we will calculate the factors of 20670 and 20689 and find the biggest common factor number .

Step-1: Prime Factorization of 20670

Prime factors of 20670 are 2, 3, 5, 13, 53. Prime factorization of 20670 in exponential form is:

20670 = 2¹ × 3¹ × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 20689

Prime factors of 20689 are 17, 1217. Prime factorization of 20689 in exponential form is:

20689 = 17¹ × 1217¹

Step-3: Factors of 20670

List of positive integer factors of 20670 that divides 20670 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 53, 65, 78, 106, 130, 159, 195, 265, 318, 390, 530, 689, 795, 1378, 1590, 2067, 3445, 4134, 6890, 10335

Step-4: Factors of 20689

List of positive integer factors of 20689 that divides 20670 without a remainder.

1, 17, 1217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20670 and 20689. The biggest common factor number is the GCF number.
So the greatest common factor 20670 and 20689 is 1.

Also check out the Least Common Multiple of 20670 and 20689