What is the Greatest Common Factor of 73320 and 73339?

Greatest common factor (GCF) of 73320 and 73339 is 1.

GCF(73320,73339) = 1

We will now calculate the prime factors of 73320 and 73339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73320 and 73339.

How to find the GCF of 73320 and 73339?

We will first find the prime factorization of 73320 and 73339. After we will calculate the factors of 73320 and 73339 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 73339

Prime factors of 73339 are 7, 10477. Prime factorization of 73339 in exponential form is:

73339 = 7¹ × 10477¹

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 73339

List of positive integer factors of 73339 that divides 73320 without a remainder.

1, 7, 10477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73320 and 73339. The biggest common factor number is the GCF number.
So the greatest common factor 73320 and 73339 is 1.

Also check out the Least Common Multiple of 73320 and 73339