What is the Greatest Common Factor of 73315 and 73320?

Greatest common factor (GCF) of 73315 and 73320 is 5.

GCF(73315,73320) = 5

We will now calculate the prime factors of 73315 and 73320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73315 and 73320.

How to find the GCF of 73315 and 73320?

We will first find the prime factorization of 73315 and 73320. After we will calculate the factors of 73315 and 73320 and find the biggest common factor number .

Step-1: Prime Factorization of 73315

Prime factors of 73315 are 5, 11, 31, 43. Prime factorization of 73315 in exponential form is:

73315 = 5¹ × 11¹ × 31¹ × 43¹

Step-2: 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-3: Factors of 73315

List of positive integer factors of 73315 that divides 73315 without a remainder.

1, 5, 11, 31, 43, 55, 155, 215, 341, 473, 1333, 1705, 2365, 6665, 14663

Step-4: Factors of 73320

List of positive integer factors of 73320 that divides 73315 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73315 and 73320. The biggest common factor number is the GCF number.
So the greatest common factor 73315 and 73320 is 5.

Also check out the Least Common Multiple of 73315 and 73320