What is the Greatest Common Factor of 73320 and 73329?

Greatest common factor (GCF) of 73320 and 73329 is 3.

GCF(73320,73329) = 3

We will now calculate the prime factors of 73320 and 73329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73320 and 73329.

How to find the GCF of 73320 and 73329?

We will first find the prime factorization of 73320 and 73329. After we will calculate the factors of 73320 and 73329 and find the biggest common factor number .

Step-1: Prime Factorization of 73320

Prime factors of 73320 are 2, 3, 5, 13, 47. Prime factorization of 73320 in exponential form is:

73320 = 2³ × 3¹ × 5¹ × 13¹ × 47¹

Step-2: Prime Factorization of 73329

Prime factors of 73329 are 3, 24443. Prime factorization of 73329 in exponential form is:

73329 = 3¹ × 24443¹

Step-3: Factors of 73320

List of positive integer factors of 73320 that divides 73320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 47, 52, 60, 65, 78, 94, 104, 120, 130, 141, 156, 188, 195, 235, 260, 282, 312, 376, 390, 470, 520, 564, 611, 705, 780, 940, 1128, 1222, 1410, 1560, 1833, 1880, 2444, 2820, 3055, 3666, 4888, 5640, 6110, 7332, 9165, 12220, 14664, 18330, 24440, 36660

Step-4: Factors of 73329

List of positive integer factors of 73329 that divides 73320 without a remainder.

1, 3, 24443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73320 and 73329. The biggest common factor number is the GCF number.
So the greatest common factor 73320 and 73329 is 3.

Also check out the Least Common Multiple of 73320 and 73329