What is the Greatest Common Factor of 81660 and 81670?

Greatest common factor (GCF) of 81660 and 81670 is 10.

GCF(81660,81670) = 10

We will now calculate the prime factors of 81660 and 81670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81660 and 81670.

How to find the GCF of 81660 and 81670?

We will first find the prime factorization of 81660 and 81670. After we will calculate the factors of 81660 and 81670 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 81670

Prime factors of 81670 are 2, 5, 8167. Prime factorization of 81670 in exponential form is:

81670 = 2¹ × 5¹ × 8167¹

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 81670

List of positive integer factors of 81670 that divides 81660 without a remainder.

1, 2, 5, 10, 8167, 16334, 40835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81660 and 81670. The biggest common factor number is the GCF number.
So the greatest common factor 81660 and 81670 is 10.

Also check out the Least Common Multiple of 81660 and 81670