What is the Greatest Common Factor of 73710 and 73715?

Greatest common factor (GCF) of 73710 and 73715 is 5.

GCF(73710,73715) = 5

We will now calculate the prime factors of 73710 and 73715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73710 and 73715.

How to find the GCF of 73710 and 73715?

We will first find the prime factorization of 73710 and 73715. After we will calculate the factors of 73710 and 73715 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 73715

Prime factors of 73715 are 5, 23, 641. Prime factorization of 73715 in exponential form is:

73715 = 5¹ × 23¹ × 641¹

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 73715

List of positive integer factors of 73715 that divides 73710 without a remainder.

1, 5, 23, 115, 641, 3205, 14743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73710 and 73715. The biggest common factor number is the GCF number.
So the greatest common factor 73710 and 73715 is 5.

Also check out the Least Common Multiple of 73710 and 73715