What is the Greatest Common Factor of 49792 and 49812?

Greatest common factor (GCF) of 49792 and 49812 is 4.

GCF(49792,49812) = 4

We will now calculate the prime factors of 49792 and 49812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49792 and 49812.

How to find the GCF of 49792 and 49812?

We will first find the prime factorization of 49792 and 49812. After we will calculate the factors of 49792 and 49812 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 49812

Prime factors of 49812 are 2, 3, 7, 593. Prime factorization of 49812 in exponential form is:

49812 = 2² × 3¹ × 7¹ × 593¹

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 49812

List of positive integer factors of 49812 that divides 49792 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 593, 1186, 1779, 2372, 3558, 4151, 7116, 8302, 12453, 16604, 24906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49792 and 49812. The biggest common factor number is the GCF number.
So the greatest common factor 49792 and 49812 is 4.

Also check out the Least Common Multiple of 49792 and 49812