What is the Greatest Common Factor of 81600 and 81606?

Greatest common factor (GCF) of 81600 and 81606 is 6.

GCF(81600,81606) = 6

We will now calculate the prime factors of 81600 and 81606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81600 and 81606.

How to find the GCF of 81600 and 81606?

We will first find the prime factorization of 81600 and 81606. After we will calculate the factors of 81600 and 81606 and find the biggest common factor number .

Step-1: Prime Factorization of 81600

Prime factors of 81600 are 2, 3, 5, 17. Prime factorization of 81600 in exponential form is:

81600 = 2⁶ × 3¹ × 5² × 17¹

Step-2: 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-3: Factors of 81600

List of positive integer factors of 81600 that divides 81600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 25, 30, 32, 34, 40, 48, 50, 51, 60, 64, 68, 75, 80, 85, 96, 100, 102, 120, 136, 150, 160, 170, 192, 200, 204, 240, 255, 272, 300, 320, 340, 400, 408, 425, 480, 510, 544, 600, 680, 800, 816, 850, 960, 1020, 1088, 1200, 1275, 1360, 1600, 1632, 1700, 2040, 2400, 2550, 2720, 3264, 3400, 4080, 4800, 5100, 5440, 6800, 8160, 10200, 13600, 16320, 20400, 27200, 40800

Step-4: Factors of 81606

List of positive integer factors of 81606 that divides 81600 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81600 and 81606. The biggest common factor number is the GCF number.
So the greatest common factor 81600 and 81606 is 6.

Also check out the Least Common Multiple of 81600 and 81606