What is the Greatest Common Factor of 72384 and 72398?

Greatest common factor (GCF) of 72384 and 72398 is 2.

GCF(72384,72398) = 2

We will now calculate the prime factors of 72384 and 72398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72384 and 72398.

How to find the GCF of 72384 and 72398?

We will first find the prime factorization of 72384 and 72398. After we will calculate the factors of 72384 and 72398 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 72398

Prime factors of 72398 are 2, 53, 683. Prime factorization of 72398 in exponential form is:

72398 = 2¹ × 53¹ × 683¹

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 72398

List of positive integer factors of 72398 that divides 72384 without a remainder.

1, 2, 53, 106, 683, 1366, 36199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72384 and 72398. The biggest common factor number is the GCF number.
So the greatest common factor 72384 and 72398 is 2.

Also check out the Least Common Multiple of 72384 and 72398