What is the Greatest Common Factor of 72378 and 72384?

Greatest common factor (GCF) of 72378 and 72384 is 6.

GCF(72378,72384) = 6

We will now calculate the prime factors of 72378 and 72384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72378 and 72384.

How to find the GCF of 72378 and 72384?

We will first find the prime factorization of 72378 and 72384. After we will calculate the factors of 72378 and 72384 and find the biggest common factor number .

Step-1: Prime Factorization of 72378

Prime factors of 72378 are 2, 3, 4021. Prime factorization of 72378 in exponential form is:

72378 = 2¹ × 3² × 4021¹

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 72378

List of positive integer factors of 72378 that divides 72378 without a remainder.

1, 2, 3, 6, 9, 18, 4021, 8042, 12063, 24126, 36189

Step-4: Factors of 72384

List of positive integer factors of 72384 that divides 72378 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 72378 and 72384. The biggest common factor number is the GCF number.
So the greatest common factor 72378 and 72384 is 6.

Also check out the Least Common Multiple of 72378 and 72384