What is the Greatest Common Factor of 73710 and 73729?

Greatest common factor (GCF) of 73710 and 73729 is 1.

GCF(73710,73729) = 1

We will now calculate the prime factors of 73710 and 73729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73710 and 73729.

How to find the GCF of 73710 and 73729?

We will first find the prime factorization of 73710 and 73729. After we will calculate the factors of 73710 and 73729 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 73729

Prime factors of 73729 are 17, 4337. Prime factorization of 73729 in exponential form is:

73729 = 17¹ × 4337¹

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 73729

List of positive integer factors of 73729 that divides 73710 without a remainder.

1, 17, 4337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73710 and 73729. The biggest common factor number is the GCF number.
So the greatest common factor 73710 and 73729 is 1.

Also check out the Least Common Multiple of 73710 and 73729