What is the Greatest Common Factor of 72371 and 72384?

Greatest common factor (GCF) of 72371 and 72384 is 13.

GCF(72371,72384) = 13

We will now calculate the prime factors of 72371 and 72384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72371 and 72384.

How to find the GCF of 72371 and 72384?

We will first find the prime factorization of 72371 and 72384. After we will calculate the factors of 72371 and 72384 and find the biggest common factor number .

Step-1: Prime Factorization of 72371

Prime factors of 72371 are 13, 19, 293. Prime factorization of 72371 in exponential form is:

72371 = 13¹ × 19¹ × 293¹

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 72371

List of positive integer factors of 72371 that divides 72371 without a remainder.

1, 13, 19, 247, 293, 3809, 5567

Step-4: Factors of 72384

List of positive integer factors of 72384 that divides 72371 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 72371 and 72384. The biggest common factor number is the GCF number.
So the greatest common factor 72371 and 72384 is 13.

Also check out the Least Common Multiple of 72371 and 72384