What is the Greatest Common Factor of 73710 and 73720?

Greatest common factor (GCF) of 73710 and 73720 is 10.

GCF(73710,73720) = 10

We will now calculate the prime factors of 73710 and 73720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73710 and 73720.

How to find the GCF of 73710 and 73720?

We will first find the prime factorization of 73710 and 73720. After we will calculate the factors of 73710 and 73720 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 73720

Prime factors of 73720 are 2, 5, 19, 97. Prime factorization of 73720 in exponential form is:

73720 = 2³ × 5¹ × 19¹ × 97¹

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 73720

List of positive integer factors of 73720 that divides 73710 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 97, 152, 190, 194, 380, 388, 485, 760, 776, 970, 1843, 1940, 3686, 3880, 7372, 9215, 14744, 18430, 36860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73710 and 73720. The biggest common factor number is the GCF number.
So the greatest common factor 73710 and 73720 is 10.

Also check out the Least Common Multiple of 73710 and 73720