What is the Greatest Common Factor of 50256 and 50268?

Greatest common factor (GCF) of 50256 and 50268 is 12.

GCF(50256,50268) = 12

We will now calculate the prime factors of 50256 and 50268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50256 and 50268.

How to find the GCF of 50256 and 50268?

We will first find the prime factorization of 50256 and 50268. After we will calculate the factors of 50256 and 50268 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 50268

Prime factors of 50268 are 2, 3, 59, 71. Prime factorization of 50268 in exponential form is:

50268 = 2² × 3¹ × 59¹ × 71¹

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 50268

List of positive integer factors of 50268 that divides 50256 without a remainder.

1, 2, 3, 4, 6, 12, 59, 71, 118, 142, 177, 213, 236, 284, 354, 426, 708, 852, 4189, 8378, 12567, 16756, 25134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50256 and 50268. The biggest common factor number is the GCF number.
So the greatest common factor 50256 and 50268 is 12.

Also check out the Least Common Multiple of 50256 and 50268