What is the Greatest Common Factor of 50272 and 50288?

Greatest common factor (GCF) of 50272 and 50288 is 16.

GCF(50272,50288) = 16

We will now calculate the prime factors of 50272 and 50288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50272 and 50288.

How to find the GCF of 50272 and 50288?

We will first find the prime factorization of 50272 and 50288. After we will calculate the factors of 50272 and 50288 and find the biggest common factor number .

Step-1: Prime Factorization of 50272

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

50272 = 2⁵ × 1571¹

Step-2: Prime Factorization of 50288

Prime factors of 50288 are 2, 7, 449. Prime factorization of 50288 in exponential form is:

50288 = 2⁴ × 7¹ × 449¹

Step-3: Factors of 50272

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

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

Step-4: Factors of 50288

List of positive integer factors of 50288 that divides 50272 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 449, 898, 1796, 3143, 3592, 6286, 7184, 12572, 25144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50272 and 50288. The biggest common factor number is the GCF number.
So the greatest common factor 50272 and 50288 is 16.

Also check out the Least Common Multiple of 50272 and 50288