What is the Greatest Common Factor of 73392 and 73408?

Greatest common factor (GCF) of 73392 and 73408 is 16.

GCF(73392,73408) = 16

We will now calculate the prime factors of 73392 and 73408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73392 and 73408.

How to find the GCF of 73392 and 73408?

We will first find the prime factorization of 73392 and 73408. After we will calculate the factors of 73392 and 73408 and find the biggest common factor number .

Step-1: Prime Factorization of 73392

Prime factors of 73392 are 2, 3, 11, 139. Prime factorization of 73392 in exponential form is:

73392 = 2⁴ × 3¹ × 11¹ × 139¹

Step-2: Prime Factorization of 73408

Prime factors of 73408 are 2, 31, 37. Prime factorization of 73408 in exponential form is:

73408 = 2⁶ × 31¹ × 37¹

Step-3: Factors of 73392

List of positive integer factors of 73392 that divides 73392 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 139, 176, 264, 278, 417, 528, 556, 834, 1112, 1529, 1668, 2224, 3058, 3336, 4587, 6116, 6672, 9174, 12232, 18348, 24464, 36696

Step-4: Factors of 73408

List of positive integer factors of 73408 that divides 73392 without a remainder.

1, 2, 4, 8, 16, 31, 32, 37, 62, 64, 74, 124, 148, 248, 296, 496, 592, 992, 1147, 1184, 1984, 2294, 2368, 4588, 9176, 18352, 36704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73392 and 73408. The biggest common factor number is the GCF number.
So the greatest common factor 73392 and 73408 is 16.

Also check out the Least Common Multiple of 73392 and 73408