What is the Greatest Common Factor of 51504 and 51513?

Greatest common factor (GCF) of 51504 and 51513 is 3.

GCF(51504,51513) = 3

We will now calculate the prime factors of 51504 and 51513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51504 and 51513.

How to find the GCF of 51504 and 51513?

We will first find the prime factorization of 51504 and 51513. After we will calculate the factors of 51504 and 51513 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51513

Prime factors of 51513 are 3, 7, 11, 223. Prime factorization of 51513 in exponential form is:

51513 = 3¹ × 7¹ × 11¹ × 223¹

Step-3: Factors of 51504

List of positive integer factors of 51504 that divides 51504 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

Step-4: Factors of 51513

List of positive integer factors of 51513 that divides 51504 without a remainder.

1, 3, 7, 11, 21, 33, 77, 223, 231, 669, 1561, 2453, 4683, 7359, 17171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51504 and 51513. The biggest common factor number is the GCF number.
So the greatest common factor 51504 and 51513 is 3.

Also check out the Least Common Multiple of 51504 and 51513