What is the Greatest Common Factor of 51480 and 51487?

Greatest common factor (GCF) of 51480 and 51487 is 1.

GCF(51480,51487) = 1

We will now calculate the prime factors of 51480 and 51487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51480 and 51487.

How to find the GCF of 51480 and 51487?

We will first find the prime factorization of 51480 and 51487. After we will calculate the factors of 51480 and 51487 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 51487

Prime factors of 51487 are 51487. Prime factorization of 51487 in exponential form is:

51487 = 51487¹

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 51487

List of positive integer factors of 51487 that divides 51480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51480 and 51487. The biggest common factor number is the GCF number.
So the greatest common factor 51480 and 51487 is 1.

Also check out the Least Common Multiple of 51480 and 51487