What is the Greatest Common Factor of 72364 and 72384?

Greatest common factor (GCF) of 72364 and 72384 is 4.

GCF(72364,72384) = 4

We will now calculate the prime factors of 72364 and 72384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72364 and 72384.

How to find the GCF of 72364 and 72384?

We will first find the prime factorization of 72364 and 72384. After we will calculate the factors of 72364 and 72384 and find the biggest common factor number .

Step-1: Prime Factorization of 72364

Prime factors of 72364 are 2, 79, 229. Prime factorization of 72364 in exponential form is:

72364 = 2² × 79¹ × 229¹

Step-2: 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-3: Factors of 72364

List of positive integer factors of 72364 that divides 72364 without a remainder.

1, 2, 4, 79, 158, 229, 316, 458, 916, 18091, 36182

Step-4: Factors of 72384

List of positive integer factors of 72384 that divides 72364 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72364 and 72384. The biggest common factor number is the GCF number.
So the greatest common factor 72364 and 72384 is 4.

Also check out the Least Common Multiple of 72364 and 72384