What is the Greatest Common Factor of 81606 and 81620?

Greatest common factor (GCF) of 81606 and 81620 is 14.

GCF(81606,81620) = 14

We will now calculate the prime factors of 81606 and 81620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81606 and 81620.

How to find the GCF of 81606 and 81620?

We will first find the prime factorization of 81606 and 81620. After we will calculate the factors of 81606 and 81620 and find the biggest common factor number .

Step-1: Prime Factorization of 81606

Prime factors of 81606 are 2, 3, 7, 29, 67. Prime factorization of 81606 in exponential form is:

81606 = 2¹ × 3¹ × 7¹ × 29¹ × 67¹

Step-2: Prime Factorization of 81620

Prime factors of 81620 are 2, 5, 7, 11, 53. Prime factorization of 81620 in exponential form is:

81620 = 2² × 5¹ × 7¹ × 11¹ × 53¹

Step-3: Factors of 81606

List of positive integer factors of 81606 that divides 81606 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 67, 87, 134, 174, 201, 203, 402, 406, 469, 609, 938, 1218, 1407, 1943, 2814, 3886, 5829, 11658, 13601, 27202, 40803

Step-4: Factors of 81620

List of positive integer factors of 81620 that divides 81606 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 53, 55, 70, 77, 106, 110, 140, 154, 212, 220, 265, 308, 371, 385, 530, 583, 742, 770, 1060, 1166, 1484, 1540, 1855, 2332, 2915, 3710, 4081, 5830, 7420, 8162, 11660, 16324, 20405, 40810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81606 and 81620. The biggest common factor number is the GCF number.
So the greatest common factor 81606 and 81620 is 14.

Also check out the Least Common Multiple of 81606 and 81620