What is the Greatest Common Factor of 49774 and 49792?

Greatest common factor (GCF) of 49774 and 49792 is 2.

GCF(49774,49792) = 2

We will now calculate the prime factors of 49774 and 49792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49774 and 49792.

How to find the GCF of 49774 and 49792?

We will first find the prime factorization of 49774 and 49792. After we will calculate the factors of 49774 and 49792 and find the biggest common factor number .

Step-1: Prime Factorization of 49774

Prime factors of 49774 are 2, 41, 607. Prime factorization of 49774 in exponential form is:

49774 = 2¹ × 41¹ × 607¹

Step-2: Prime Factorization of 49792

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

49792 = 2⁷ × 389¹

Step-3: Factors of 49774

List of positive integer factors of 49774 that divides 49774 without a remainder.

1, 2, 41, 82, 607, 1214, 24887

Step-4: Factors of 49792

List of positive integer factors of 49792 that divides 49774 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49774 and 49792. The biggest common factor number is the GCF number.
So the greatest common factor 49774 and 49792 is 2.

Also check out the Least Common Multiple of 49774 and 49792