What is the Greatest Common Factor of 18670 and 18689?

Greatest common factor (GCF) of 18670 and 18689 is 1.

GCF(18670,18689) = 1

We will now calculate the prime factors of 18670 and 18689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18670 and 18689.

How to find the GCF of 18670 and 18689?

We will first find the prime factorization of 18670 and 18689. After we will calculate the factors of 18670 and 18689 and find the biggest common factor number .

Step-1: Prime Factorization of 18670

Prime factors of 18670 are 2, 5, 1867. Prime factorization of 18670 in exponential form is:

18670 = 2¹ × 5¹ × 1867¹

Step-2: Prime Factorization of 18689

Prime factors of 18689 are 11, 1699. Prime factorization of 18689 in exponential form is:

18689 = 11¹ × 1699¹

Step-3: Factors of 18670

List of positive integer factors of 18670 that divides 18670 without a remainder.

1, 2, 5, 10, 1867, 3734, 9335

Step-4: Factors of 18689

List of positive integer factors of 18689 that divides 18670 without a remainder.

1, 11, 1699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18670 and 18689. The biggest common factor number is the GCF number.
So the greatest common factor 18670 and 18689 is 1.

Also check out the Least Common Multiple of 18670 and 18689