What is the Greatest Common Factor of 51500 and 51504?

Greatest common factor (GCF) of 51500 and 51504 is 4.

GCF(51500,51504) = 4

We will now calculate the prime factors of 51500 and 51504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51500 and 51504.

How to find the GCF of 51500 and 51504?

We will first find the prime factorization of 51500 and 51504. After we will calculate the factors of 51500 and 51504 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51504

Prime factors of 51504 are 2, 3, 29, 37. Prime factorization of 51504 in exponential form is:

51504 = 2⁴ × 3¹ × 29¹ × 37¹

Step-3: Factors of 51500

List of positive integer factors of 51500 that divides 51500 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

Step-4: Factors of 51504

List of positive integer factors of 51504 that divides 51500 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 37, 48, 58, 74, 87, 111, 116, 148, 174, 222, 232, 296, 348, 444, 464, 592, 696, 888, 1073, 1392, 1776, 2146, 3219, 4292, 6438, 8584, 12876, 17168, 25752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51500 and 51504. The biggest common factor number is the GCF number.
So the greatest common factor 51500 and 51504 is 4.

Also check out the Least Common Multiple of 51500 and 51504