What is the Greatest Common Factor of 81660 and 81676?

Greatest common factor (GCF) of 81660 and 81676 is 4.

GCF(81660,81676) = 4

We will now calculate the prime factors of 81660 and 81676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81660 and 81676.

How to find the GCF of 81660 and 81676?

We will first find the prime factorization of 81660 and 81676. After we will calculate the factors of 81660 and 81676 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 81676

Prime factors of 81676 are 2, 7, 2917. Prime factorization of 81676 in exponential form is:

81676 = 2² × 7¹ × 2917¹

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 81676

List of positive integer factors of 81676 that divides 81660 without a remainder.

1, 2, 4, 7, 14, 28, 2917, 5834, 11668, 20419, 40838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81660 and 81676. The biggest common factor number is the GCF number.
So the greatest common factor 81660 and 81676 is 4.

Also check out the Least Common Multiple of 81660 and 81676