What is the Greatest Common Factor of 73392 and 73409?

Greatest common factor (GCF) of 73392 and 73409 is 1.

GCF(73392,73409) = 1

We will now calculate the prime factors of 73392 and 73409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73392 and 73409.

How to find the GCF of 73392 and 73409?

We will first find the prime factorization of 73392 and 73409. After we will calculate the factors of 73392 and 73409 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 73409

Prime factors of 73409 are 7, 10487. Prime factorization of 73409 in exponential form is:

73409 = 7¹ × 10487¹

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 73409

List of positive integer factors of 73409 that divides 73392 without a remainder.

1, 7, 10487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73392 and 73409. The biggest common factor number is the GCF number.
So the greatest common factor 73392 and 73409 is 1.

Also check out the Least Common Multiple of 73392 and 73409