What is the Greatest Common Factor of 72384 and 72388?

Greatest common factor (GCF) of 72384 and 72388 is 4.

GCF(72384,72388) = 4

We will now calculate the prime factors of 72384 and 72388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72384 and 72388.

How to find the GCF of 72384 and 72388?

We will first find the prime factorization of 72384 and 72388. After we will calculate the factors of 72384 and 72388 and find the biggest common factor number .

Step-1: Prime Factorization of 72384

Prime factors of 72384 are 2, 3, 13, 29. Prime factorization of 72384 in exponential form is:

72384 = 2⁶ × 3¹ × 13¹ × 29¹

Step-2: Prime Factorization of 72388

Prime factors of 72388 are 2, 18097. Prime factorization of 72388 in exponential form is:

72388 = 2² × 18097¹

Step-3: Factors of 72384

List of positive integer factors of 72384 that divides 72384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 29, 32, 39, 48, 52, 58, 64, 78, 87, 96, 104, 116, 156, 174, 192, 208, 232, 312, 348, 377, 416, 464, 624, 696, 754, 832, 928, 1131, 1248, 1392, 1508, 1856, 2262, 2496, 2784, 3016, 4524, 5568, 6032, 9048, 12064, 18096, 24128, 36192

Step-4: Factors of 72388

List of positive integer factors of 72388 that divides 72384 without a remainder.

1, 2, 4, 18097, 36194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72384 and 72388. The biggest common factor number is the GCF number.
So the greatest common factor 72384 and 72388 is 4.

Also check out the Least Common Multiple of 72384 and 72388