What is the Greatest Common Factor of 81674 and 81689?

Greatest common factor (GCF) of 81674 and 81689 is 1.

GCF(81674,81689) = 1

We will now calculate the prime factors of 81674 and 81689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81674 and 81689.

How to find the GCF of 81674 and 81689?

We will first find the prime factorization of 81674 and 81689. After we will calculate the factors of 81674 and 81689 and find the biggest common factor number .

Step-1: Prime Factorization of 81674

Prime factors of 81674 are 2, 97, 421. Prime factorization of 81674 in exponential form is:

81674 = 2¹ × 97¹ × 421¹

Step-2: Prime Factorization of 81689

Prime factors of 81689 are 81689. Prime factorization of 81689 in exponential form is:

81689 = 81689¹

Step-3: Factors of 81674

List of positive integer factors of 81674 that divides 81674 without a remainder.

1, 2, 97, 194, 421, 842, 40837

Step-4: Factors of 81689

List of positive integer factors of 81689 that divides 81674 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81674 and 81689. The biggest common factor number is the GCF number.
So the greatest common factor 81674 and 81689 is 1.

Also check out the Least Common Multiple of 81674 and 81689