What is the Greatest Common Factor of 51504 and 51520?

Greatest common factor (GCF) of 51504 and 51520 is 16.

GCF(51504,51520) = 16

We will now calculate the prime factors of 51504 and 51520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51504 and 51520.

How to find the GCF of 51504 and 51520?

We will first find the prime factorization of 51504 and 51520. After we will calculate the factors of 51504 and 51520 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 51520

Prime factors of 51520 are 2, 5, 7, 23. Prime factorization of 51520 in exponential form is:

51520 = 2⁶ × 5¹ × 7¹ × 23¹

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 51520

List of positive integer factors of 51520 that divides 51504 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 23, 28, 32, 35, 40, 46, 56, 64, 70, 80, 92, 112, 115, 140, 160, 161, 184, 224, 230, 280, 320, 322, 368, 448, 460, 560, 644, 736, 805, 920, 1120, 1288, 1472, 1610, 1840, 2240, 2576, 3220, 3680, 5152, 6440, 7360, 10304, 12880, 25760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51504 and 51520. The biggest common factor number is the GCF number.
So the greatest common factor 51504 and 51520 is 16.

Also check out the Least Common Multiple of 51504 and 51520