What is the Greatest Common Factor of 50944 and 50949?

Greatest common factor (GCF) of 50944 and 50949 is 1.

GCF(50944,50949) = 1

We will now calculate the prime factors of 50944 and 50949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50944 and 50949.

How to find the GCF of 50944 and 50949?

We will first find the prime factorization of 50944 and 50949. After we will calculate the factors of 50944 and 50949 and find the biggest common factor number .

Step-1: Prime Factorization of 50944

Prime factors of 50944 are 2, 199. Prime factorization of 50944 in exponential form is:

50944 = 2⁸ × 199¹

Step-2: Prime Factorization of 50949

Prime factors of 50949 are 3, 17, 37. Prime factorization of 50949 in exponential form is:

50949 = 3⁴ × 17¹ × 37¹

Step-3: Factors of 50944

List of positive integer factors of 50944 that divides 50944 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 199, 256, 398, 796, 1592, 3184, 6368, 12736, 25472

Step-4: Factors of 50949

List of positive integer factors of 50949 that divides 50944 without a remainder.

1, 3, 9, 17, 27, 37, 51, 81, 111, 153, 333, 459, 629, 999, 1377, 1887, 2997, 5661, 16983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50944 and 50949. The biggest common factor number is the GCF number.
So the greatest common factor 50944 and 50949 is 1.

Also check out the Least Common Multiple of 50944 and 50949