What is the Greatest Common Factor of 81657 and 81669?

Greatest common factor (GCF) of 81657 and 81669 is 3.

GCF(81657,81669) = 3

We will now calculate the prime factors of 81657 and 81669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81657 and 81669.

How to find the GCF of 81657 and 81669?

We will first find the prime factorization of 81657 and 81669. After we will calculate the factors of 81657 and 81669 and find the biggest common factor number .

Step-1: Prime Factorization of 81657

Prime factors of 81657 are 3, 43, 211. Prime factorization of 81657 in exponential form is:

81657 = 3² × 43¹ × 211¹

Step-2: Prime Factorization of 81669

Prime factors of 81669 are 3, 7, 3889. Prime factorization of 81669 in exponential form is:

81669 = 3¹ × 7¹ × 3889¹

Step-3: Factors of 81657

List of positive integer factors of 81657 that divides 81657 without a remainder.

1, 3, 9, 43, 129, 211, 387, 633, 1899, 9073, 27219

Step-4: Factors of 81669

List of positive integer factors of 81669 that divides 81657 without a remainder.

1, 3, 7, 21, 3889, 11667, 27223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81657 and 81669. The biggest common factor number is the GCF number.
So the greatest common factor 81657 and 81669 is 3.

Also check out the Least Common Multiple of 81657 and 81669