What is the Greatest Common Factor of 81660 and 81679?

Greatest common factor (GCF) of 81660 and 81679 is 1.

GCF(81660,81679) = 1

We will now calculate the prime factors of 81660 and 81679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81660 and 81679.

How to find the GCF of 81660 and 81679?

We will first find the prime factorization of 81660 and 81679. After we will calculate the factors of 81660 and 81679 and find the biggest common factor number .

Step-1: Prime Factorization of 81660

Prime factors of 81660 are 2, 3, 5, 1361. Prime factorization of 81660 in exponential form is:

81660 = 2² × 3¹ × 5¹ × 1361¹

Step-2: Prime Factorization of 81679

Prime factors of 81679 are 13, 61, 103. Prime factorization of 81679 in exponential form is:

81679 = 13¹ × 61¹ × 103¹

Step-3: Factors of 81660

List of positive integer factors of 81660 that divides 81660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1361, 2722, 4083, 5444, 6805, 8166, 13610, 16332, 20415, 27220, 40830

Step-4: Factors of 81679

List of positive integer factors of 81679 that divides 81660 without a remainder.

1, 13, 61, 103, 793, 1339, 6283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81660 and 81679. The biggest common factor number is the GCF number.
So the greatest common factor 81660 and 81679 is 1.

Also check out the Least Common Multiple of 81660 and 81679