What is the Greatest Common Factor of 50256 and 50272?

Greatest common factor (GCF) of 50256 and 50272 is 16.

GCF(50256,50272) = 16

We will now calculate the prime factors of 50256 and 50272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50256 and 50272.

How to find the GCF of 50256 and 50272?

We will first find the prime factorization of 50256 and 50272. After we will calculate the factors of 50256 and 50272 and find the biggest common factor number .

Step-1: Prime Factorization of 50256

Prime factors of 50256 are 2, 3, 349. Prime factorization of 50256 in exponential form is:

50256 = 2⁴ × 3² × 349¹

Step-2: Prime Factorization of 50272

Prime factors of 50272 are 2, 1571. Prime factorization of 50272 in exponential form is:

50272 = 2⁵ × 1571¹

Step-3: Factors of 50256

List of positive integer factors of 50256 that divides 50256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 349, 698, 1047, 1396, 2094, 2792, 3141, 4188, 5584, 6282, 8376, 12564, 16752, 25128

Step-4: Factors of 50272

List of positive integer factors of 50272 that divides 50256 without a remainder.

1, 2, 4, 8, 16, 32, 1571, 3142, 6284, 12568, 25136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50256 and 50272. The biggest common factor number is the GCF number.
So the greatest common factor 50256 and 50272 is 16.

Also check out the Least Common Multiple of 50256 and 50272