What is the Greatest Common Factor of 49392 and 49409?

Greatest common factor (GCF) of 49392 and 49409 is 1.

GCF(49392,49409) = 1

We will now calculate the prime factors of 49392 and 49409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49392 and 49409.

How to find the GCF of 49392 and 49409?

We will first find the prime factorization of 49392 and 49409. After we will calculate the factors of 49392 and 49409 and find the biggest common factor number .

Step-1: Prime Factorization of 49392

Prime factors of 49392 are 2, 3, 7. Prime factorization of 49392 in exponential form is:

49392 = 2⁴ × 3² × 7³

Step-2: Prime Factorization of 49409

Prime factors of 49409 are 49409. Prime factorization of 49409 in exponential form is:

49409 = 49409¹

Step-3: Factors of 49392

List of positive integer factors of 49392 that divides 49392 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 343, 392, 441, 504, 588, 686, 784, 882, 1008, 1029, 1176, 1372, 1764, 2058, 2352, 2744, 3087, 3528, 4116, 5488, 6174, 7056, 8232, 12348, 16464, 24696

Step-4: Factors of 49409

List of positive integer factors of 49409 that divides 49392 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49392 and 49409. The biggest common factor number is the GCF number.
So the greatest common factor 49392 and 49409 is 1.

Also check out the Least Common Multiple of 49392 and 49409