What is the Greatest Common Factor of 49792 and 49805?

Greatest common factor (GCF) of 49792 and 49805 is 1.

GCF(49792,49805) = 1

We will now calculate the prime factors of 49792 and 49805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49792 and 49805.

How to find the GCF of 49792 and 49805?

We will first find the prime factorization of 49792 and 49805. After we will calculate the factors of 49792 and 49805 and find the biggest common factor number .

Step-1: Prime Factorization of 49792

Prime factors of 49792 are 2, 389. Prime factorization of 49792 in exponential form is:

49792 = 2⁷ × 389¹

Step-2: Prime Factorization of 49805

Prime factors of 49805 are 5, 7, 1423. Prime factorization of 49805 in exponential form is:

49805 = 5¹ × 7¹ × 1423¹

Step-3: Factors of 49792

List of positive integer factors of 49792 that divides 49792 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 389, 778, 1556, 3112, 6224, 12448, 24896

Step-4: Factors of 49805

List of positive integer factors of 49805 that divides 49792 without a remainder.

1, 5, 7, 35, 1423, 7115, 9961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49792 and 49805. The biggest common factor number is the GCF number.
So the greatest common factor 49792 and 49805 is 1.

Also check out the Least Common Multiple of 49792 and 49805