What is the Greatest Common Factor of 73697 and 73710?

Greatest common factor (GCF) of 73697 and 73710 is 13.

GCF(73697,73710) = 13

We will now calculate the prime factors of 73697 and 73710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73697 and 73710.

How to find the GCF of 73697 and 73710?

We will first find the prime factorization of 73697 and 73710. After we will calculate the factors of 73697 and 73710 and find the biggest common factor number .

Step-1: Prime Factorization of 73697

Prime factors of 73697 are 13, 5669. Prime factorization of 73697 in exponential form is:

73697 = 13¹ × 5669¹

Step-2: Prime Factorization of 73710

Prime factors of 73710 are 2, 3, 5, 7, 13. Prime factorization of 73710 in exponential form is:

73710 = 2¹ × 3⁴ × 5¹ × 7¹ × 13¹

Step-3: Factors of 73697

List of positive integer factors of 73697 that divides 73697 without a remainder.

1, 13, 5669

Step-4: Factors of 73710

List of positive integer factors of 73710 that divides 73697 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 27, 30, 35, 39, 42, 45, 54, 63, 65, 70, 78, 81, 90, 91, 105, 117, 126, 130, 135, 162, 182, 189, 195, 210, 234, 270, 273, 315, 351, 378, 390, 405, 455, 546, 567, 585, 630, 702, 810, 819, 910, 945, 1053, 1134, 1170, 1365, 1638, 1755, 1890, 2106, 2457, 2730, 2835, 3510, 4095, 4914, 5265, 5670, 7371, 8190, 10530, 12285, 14742, 24570, 36855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73697 and 73710. The biggest common factor number is the GCF number.
So the greatest common factor 73697 and 73710 is 13.

Also check out the Least Common Multiple of 73697 and 73710