What is the Greatest Common Factor of 51480 and 51484?

Greatest common factor (GCF) of 51480 and 51484 is 4.

GCF(51480,51484) = 4

We will now calculate the prime factors of 51480 and 51484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51480 and 51484.

How to find the GCF of 51480 and 51484?

We will first find the prime factorization of 51480 and 51484. After we will calculate the factors of 51480 and 51484 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 51484

Prime factors of 51484 are 2, 61, 211. Prime factorization of 51484 in exponential form is:

51484 = 2² × 61¹ × 211¹

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 51484

List of positive integer factors of 51484 that divides 51480 without a remainder.

1, 2, 4, 61, 122, 211, 244, 422, 844, 12871, 25742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51480 and 51484. The biggest common factor number is the GCF number.
So the greatest common factor 51480 and 51484 is 4.

Also check out the Least Common Multiple of 51480 and 51484