What is the Greatest Common Factor of 51488 and 51500?

Greatest common factor (GCF) of 51488 and 51500 is 4.

GCF(51488,51500) = 4

We will now calculate the prime factors of 51488 and 51500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51488 and 51500.

How to find the GCF of 51488 and 51500?

We will first find the prime factorization of 51488 and 51500. After we will calculate the factors of 51488 and 51500 and find the biggest common factor number .

Step-1: Prime Factorization of 51488

Prime factors of 51488 are 2, 1609. Prime factorization of 51488 in exponential form is:

51488 = 2⁵ × 1609¹

Step-2: Prime Factorization of 51500

Prime factors of 51500 are 2, 5, 103. Prime factorization of 51500 in exponential form is:

51500 = 2² × 5³ × 103¹

Step-3: Factors of 51488

List of positive integer factors of 51488 that divides 51488 without a remainder.

1, 2, 4, 8, 16, 32, 1609, 3218, 6436, 12872, 25744

Step-4: Factors of 51500

List of positive integer factors of 51500 that divides 51488 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 103, 125, 206, 250, 412, 500, 515, 1030, 2060, 2575, 5150, 10300, 12875, 25750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51488 and 51500. The biggest common factor number is the GCF number.
So the greatest common factor 51488 and 51500 is 4.

Also check out the Least Common Multiple of 51488 and 51500