What is the Greatest Common Factor of 81653 and 81666?

Greatest common factor (GCF) of 81653 and 81666 is 13.

GCF(81653,81666) = 13

We will now calculate the prime factors of 81653 and 81666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81653 and 81666.

How to find the GCF of 81653 and 81666?

We will first find the prime factorization of 81653 and 81666. After we will calculate the factors of 81653 and 81666 and find the biggest common factor number .

Step-1: Prime Factorization of 81653

Prime factors of 81653 are 11, 13, 571. Prime factorization of 81653 in exponential form is:

81653 = 11¹ × 13¹ × 571¹

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 81653

List of positive integer factors of 81653 that divides 81653 without a remainder.

1, 11, 13, 143, 571, 6281, 7423

Step-4: Factors of 81666

List of positive integer factors of 81666 that divides 81653 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 81653 and 81666. The biggest common factor number is the GCF number.
So the greatest common factor 81653 and 81666 is 13.

Also check out the Least Common Multiple of 81653 and 81666