What is the Greatest Common Factor of 50924 and 50944?

Greatest common factor (GCF) of 50924 and 50944 is 4.

GCF(50924,50944) = 4

We will now calculate the prime factors of 50924 and 50944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50924 and 50944.

How to find the GCF of 50924 and 50944?

We will first find the prime factorization of 50924 and 50944. After we will calculate the factors of 50924 and 50944 and find the biggest common factor number .

Step-1: Prime Factorization of 50924

Prime factors of 50924 are 2, 29, 439. Prime factorization of 50924 in exponential form is:

50924 = 2² × 29¹ × 439¹

Step-2: Prime Factorization of 50944

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

50944 = 2⁸ × 199¹

Step-3: Factors of 50924

List of positive integer factors of 50924 that divides 50924 without a remainder.

1, 2, 4, 29, 58, 116, 439, 878, 1756, 12731, 25462

Step-4: Factors of 50944

List of positive integer factors of 50944 that divides 50924 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50924 and 50944. The biggest common factor number is the GCF number.
So the greatest common factor 50924 and 50944 is 4.

Also check out the Least Common Multiple of 50924 and 50944