What is the Greatest Common Factor of 50112 and 50128?

Greatest common factor (GCF) of 50112 and 50128 is 16.

GCF(50112,50128) = 16

We will now calculate the prime factors of 50112 and 50128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50112 and 50128.

How to find the GCF of 50112 and 50128?

We will first find the prime factorization of 50112 and 50128. After we will calculate the factors of 50112 and 50128 and find the biggest common factor number .

Step-1: Prime Factorization of 50112

Prime factors of 50112 are 2, 3, 29. Prime factorization of 50112 in exponential form is:

50112 = 2⁶ × 3³ × 29¹

Step-2: Prime Factorization of 50128

Prime factors of 50128 are 2, 13, 241. Prime factorization of 50128 in exponential form is:

50128 = 2⁴ × 13¹ × 241¹

Step-3: Factors of 50112

List of positive integer factors of 50112 that divides 50112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 32, 36, 48, 54, 58, 64, 72, 87, 96, 108, 116, 144, 174, 192, 216, 232, 261, 288, 348, 432, 464, 522, 576, 696, 783, 864, 928, 1044, 1392, 1566, 1728, 1856, 2088, 2784, 3132, 4176, 5568, 6264, 8352, 12528, 16704, 25056

Step-4: Factors of 50128

List of positive integer factors of 50128 that divides 50112 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 241, 482, 964, 1928, 3133, 3856, 6266, 12532, 25064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50112 and 50128. The biggest common factor number is the GCF number.
So the greatest common factor 50112 and 50128 is 16.

Also check out the Least Common Multiple of 50112 and 50128