What is the Greatest Common Factor of 81654 and 81666?

Greatest common factor (GCF) of 81654 and 81666 is 6.

GCF(81654,81666) = 6

We will now calculate the prime factors of 81654 and 81666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81654 and 81666.

How to find the GCF of 81654 and 81666?

We will first find the prime factorization of 81654 and 81666. After we will calculate the factors of 81654 and 81666 and find the biggest common factor number .

Step-1: Prime Factorization of 81654

Prime factors of 81654 are 2, 3, 31, 439. Prime factorization of 81654 in exponential form is:

81654 = 2¹ × 3¹ × 31¹ × 439¹

Step-2: 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-3: Factors of 81654

List of positive integer factors of 81654 that divides 81654 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 439, 878, 1317, 2634, 13609, 27218, 40827

Step-4: Factors of 81666

List of positive integer factors of 81666 that divides 81654 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81654 and 81666. The biggest common factor number is the GCF number.
So the greatest common factor 81654 and 81666 is 6.

Also check out the Least Common Multiple of 81654 and 81666