What is the Greatest Common Factor of 51480 and 51493?

Greatest common factor (GCF) of 51480 and 51493 is 13.

GCF(51480,51493) = 13

We will now calculate the prime factors of 51480 and 51493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51480 and 51493.

How to find the GCF of 51480 and 51493?

We will first find the prime factorization of 51480 and 51493. After we will calculate the factors of 51480 and 51493 and find the biggest common factor number .

Step-1: Prime Factorization of 51480

Prime factors of 51480 are 2, 3, 5, 11, 13. Prime factorization of 51480 in exponential form is:

51480 = 2³ × 3² × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 51493

Prime factors of 51493 are 13, 17, 233. Prime factorization of 51493 in exponential form is:

51493 = 13¹ × 17¹ × 233¹

Step-3: Factors of 51480

List of positive integer factors of 51480 that divides 51480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 18, 20, 22, 24, 26, 30, 33, 36, 39, 40, 44, 45, 52, 55, 60, 65, 66, 72, 78, 88, 90, 99, 104, 110, 117, 120, 130, 132, 143, 156, 165, 180, 195, 198, 220, 234, 260, 264, 286, 312, 330, 360, 390, 396, 429, 440, 468, 495, 520, 572, 585, 660, 715, 780, 792, 858, 936, 990, 1144, 1170, 1287, 1320, 1430, 1560, 1716, 1980, 2145, 2340, 2574, 2860, 3432, 3960, 4290, 4680, 5148, 5720, 6435, 8580, 10296, 12870, 17160, 25740

Step-4: Factors of 51493

List of positive integer factors of 51493 that divides 51480 without a remainder.

1, 13, 17, 221, 233, 3029, 3961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51480 and 51493. The biggest common factor number is the GCF number.
So the greatest common factor 51480 and 51493 is 13.

Also check out the Least Common Multiple of 51480 and 51493