What is the Greatest Common Factor of 73378 and 73392?

Greatest common factor (GCF) of 73378 and 73392 is 2.

GCF(73378,73392) = 2

We will now calculate the prime factors of 73378 and 73392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73378 and 73392.

How to find the GCF of 73378 and 73392?

We will first find the prime factorization of 73378 and 73392. After we will calculate the factors of 73378 and 73392 and find the biggest common factor number .

Step-1: Prime Factorization of 73378

Prime factors of 73378 are 2, 19, 1931. Prime factorization of 73378 in exponential form is:

73378 = 2¹ × 19¹ × 1931¹

Step-2: 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-3: Factors of 73378

List of positive integer factors of 73378 that divides 73378 without a remainder.

1, 2, 19, 38, 1931, 3862, 36689

Step-4: Factors of 73392

List of positive integer factors of 73392 that divides 73378 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73378 and 73392. The biggest common factor number is the GCF number.
So the greatest common factor 73378 and 73392 is 2.

Also check out the Least Common Multiple of 73378 and 73392