What is the Greatest Common Factor of 81666 and 81680?

Greatest common factor (GCF) of 81666 and 81680 is 2.

GCF(81666,81680) = 2

We will now calculate the prime factors of 81666 and 81680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81666 and 81680.

How to find the GCF of 81666 and 81680?

We will first find the prime factorization of 81666 and 81680. After we will calculate the factors of 81666 and 81680 and find the biggest common factor number .

Step-1: Prime Factorization of 81666

Prime factors of 81666 are 2, 3, 13, 349. Prime factorization of 81666 in exponential form is:

81666 = 2¹ × 3² × 13¹ × 349¹

Step-2: Prime Factorization of 81680

Prime factors of 81680 are 2, 5, 1021. Prime factorization of 81680 in exponential form is:

81680 = 2⁴ × 5¹ × 1021¹

Step-3: Factors of 81666

List of positive integer factors of 81666 that divides 81666 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 349, 698, 1047, 2094, 3141, 4537, 6282, 9074, 13611, 27222, 40833

Step-4: Factors of 81680

List of positive integer factors of 81680 that divides 81666 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1021, 2042, 4084, 5105, 8168, 10210, 16336, 20420, 40840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81666 and 81680. The biggest common factor number is the GCF number.
So the greatest common factor 81666 and 81680 is 2.

Also check out the Least Common Multiple of 81666 and 81680