What is the Greatest Common Factor of 73710 and 73718?

Greatest common factor (GCF) of 73710 and 73718 is 2.

GCF(73710,73718) = 2

We will now calculate the prime factors of 73710 and 73718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73710 and 73718.

How to find the GCF of 73710 and 73718?

We will first find the prime factorization of 73710 and 73718. After we will calculate the factors of 73710 and 73718 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73718

Prime factors of 73718 are 2, 29, 31, 41. Prime factorization of 73718 in exponential form is:

73718 = 2¹ × 29¹ × 31¹ × 41¹

Step-3: Factors of 73710

List of positive integer factors of 73710 that divides 73710 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

Step-4: Factors of 73718

List of positive integer factors of 73718 that divides 73710 without a remainder.

1, 2, 29, 31, 41, 58, 62, 82, 899, 1189, 1271, 1798, 2378, 2542, 36859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73710 and 73718. The biggest common factor number is the GCF number.
So the greatest common factor 73710 and 73718 is 2.

Also check out the Least Common Multiple of 73710 and 73718