What is the Greatest Common Factor of 51232 and 51248?

Greatest common factor (GCF) of 51232 and 51248 is 16.

GCF(51232,51248) = 16

We will now calculate the prime factors of 51232 and 51248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51232 and 51248.

How to find the GCF of 51232 and 51248?

We will first find the prime factorization of 51232 and 51248. After we will calculate the factors of 51232 and 51248 and find the biggest common factor number .

Step-1: Prime Factorization of 51232

Prime factors of 51232 are 2, 1601. Prime factorization of 51232 in exponential form is:

51232 = 2⁵ × 1601¹

Step-2: Prime Factorization of 51248

Prime factors of 51248 are 2, 3203. Prime factorization of 51248 in exponential form is:

51248 = 2⁴ × 3203¹

Step-3: Factors of 51232

List of positive integer factors of 51232 that divides 51232 without a remainder.

1, 2, 4, 8, 16, 32, 1601, 3202, 6404, 12808, 25616

Step-4: Factors of 51248

List of positive integer factors of 51248 that divides 51232 without a remainder.

1, 2, 4, 8, 16, 3203, 6406, 12812, 25624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51232 and 51248. The biggest common factor number is the GCF number.
So the greatest common factor 51232 and 51248 is 16.

Also check out the Least Common Multiple of 51232 and 51248